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Finding the Fourth Proportional to 769.13, 1,061.10 and 432.96

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Solution

The fourth proportional to 769.13, 1,061.10 and 432.96 is: 597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.13 : 1,061.10 = 432.96 : x
  2. Step 2: Convert to fraction form
    769.13/1,061.10 = 432.96/x
  3. Step 3: Cross multiply
    769.13x = 1,061.10 × 432.96
  4. Step 4: Simplify right side
    769.13x = 459,413.86
  5. Step 5: Solve for x
    x = 459,413.86/769.13
  6. Step 6: Final answer
    x = 597.32

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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.