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Finding the Fourth Proportional to 732.03, 1,010.10 and 452.19

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Solution

The fourth proportional to 732.03, 1,010.10 and 452.19 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.03 : 1,010.10 = 452.19 : x
  2. Step 2: Convert to fraction form
    732.03/1,010.10 = 452.19/x
  3. Step 3: Cross multiply
    732.03x = 1,010.10 × 452.19
  4. Step 4: Simplify right side
    732.03x = 456,757.12
  5. Step 5: Solve for x
    x = 456,757.12/732.03
  6. Step 6: Final answer
    x = 623.96

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