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Finding the Fourth Proportional to 1,022.67, 1,532.16 and 473.49

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Solution

The fourth proportional to 1,022.67, 1,532.16 and 473.49 is: 709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.67 : 1,532.16 = 473.49 : x
  2. Step 2: Convert to fraction form
    1,022.67/1,532.16 = 473.49/x
  3. Step 3: Cross multiply
    1,022.67x = 1,532.16 × 473.49
  4. Step 4: Simplify right side
    1,022.67x = 725,462.44
  5. Step 5: Solve for x
    x = 725,462.44/1,022.67
  6. Step 6: Final answer
    x = 709.38

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Double scale
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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.