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Finding the Fourth Proportional to 777.31, 1,069.54 and 758.85

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Solution

The fourth proportional to 777.31, 1,069.54 and 758.85 is: 1,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.31 : 1,069.54 = 758.85 : x
  2. Step 2: Convert to fraction form
    777.31/1,069.54 = 758.85/x
  3. Step 3: Cross multiply
    777.31x = 1,069.54 × 758.85
  4. Step 4: Simplify right side
    777.31x = 811,614.52
  5. Step 5: Solve for x
    x = 811,614.52/777.31
  6. Step 6: Final answer
    x = 1,044.14

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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.