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Finding the Fourth Proportional to 769.33, 1,061.40 and 517.32

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Solution

The fourth proportional to 769.33, 1,061.40 and 517.32 is: 713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.33 : 1,061.40 = 517.32 : x
  2. Step 2: Convert to fraction form
    769.33/1,061.40 = 517.32/x
  3. Step 3: Cross multiply
    769.33x = 1,061.40 × 517.32
  4. Step 4: Simplify right side
    769.33x = 549,083.45
  5. Step 5: Solve for x
    x = 549,083.45/769.33
  6. Step 6: Final answer
    x = 713.72

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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.