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Finding the Fourth Proportional to 732.09, 1,010.13 and 433.38

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Solution

The fourth proportional to 732.09, 1,010.13 and 433.38 is: 597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.09 : 1,010.13 = 433.38 : x
  2. Step 2: Convert to fraction form
    732.09/1,010.13 = 433.38/x
  3. Step 3: Cross multiply
    732.09x = 1,010.13 × 433.38
  4. Step 4: Simplify right side
    732.09x = 437,766.17
  5. Step 5: Solve for x
    x = 437,766.17/732.09
  6. Step 6: Final answer
    x = 597.97

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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.