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Finding the Fourth Proportional to 1,462.33, 2,193.49 and 488.51

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Solution

The fourth proportional to 1,462.33, 2,193.49 and 488.51 is: 732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.33 : 2,193.49 = 488.51 : x
  2. Step 2: Convert to fraction form
    1,462.33/2,193.49 = 488.51/x
  3. Step 3: Cross multiply
    1,462.33x = 2,193.49 × 488.51
  4. Step 4: Simplify right side
    1,462.33x = 1,071,532.05
  5. Step 5: Solve for x
    x = 1,071,532.05/1,462.33
  6. Step 6: Final answer
    x = 732.76

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.