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Finding the Fourth Proportional to 1,462.09, 2,193.51 and 488.20

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Solution

The fourth proportional to 1,462.09, 2,193.51 and 488.20 is: 732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.09 : 2,193.51 = 488.20 : x
  2. Step 2: Convert to fraction form
    1,462.09/2,193.51 = 488.20/x
  3. Step 3: Cross multiply
    1,462.09x = 2,193.51 × 488.20
  4. Step 4: Simplify right side
    1,462.09x = 1,070,871.58
  5. Step 5: Solve for x
    x = 1,070,871.58/1,462.09
  6. Step 6: Final answer
    x = 732.43

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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.