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Finding the Fourth Proportional to 1,010.04, 1,515.42 and 432.78

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Solution

The fourth proportional to 1,010.04, 1,515.42 and 432.78 is: 649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.04 : 1,515.42 = 432.78 : x
  2. Step 2: Convert to fraction form
    1,010.04/1,515.42 = 432.78/x
  3. Step 3: Cross multiply
    1,010.04x = 1,515.42 × 432.78
  4. Step 4: Simplify right side
    1,010.04x = 655,843.47
  5. Step 5: Solve for x
    x = 655,843.47/1,010.04
  6. Step 6: Final answer
    x = 649.32

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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.