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Finding the Fourth Proportional to 732.19, 1,010.32 and 470.56

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Solution

The fourth proportional to 732.19, 1,010.32 and 470.56 is: 649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.19 : 1,010.32 = 470.56 : x
  2. Step 2: Convert to fraction form
    732.19/1,010.32 = 470.56/x
  3. Step 3: Cross multiply
    732.19x = 1,010.32 × 470.56
  4. Step 4: Simplify right side
    732.19x = 475,416.18
  5. Step 5: Solve for x
    x = 475,416.18/732.19
  6. Step 6: Final answer
    x = 649.31

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.