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Finding the Fourth Proportional to 765.70, 1,057.16 and 713.36

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Solution

The fourth proportional to 765.70, 1,057.16 and 713.36 is: 984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.70 : 1,057.16 = 713.36 : x
  2. Step 2: Convert to fraction form
    765.70/1,057.16 = 713.36/x
  3. Step 3: Cross multiply
    765.70x = 1,057.16 × 713.36
  4. Step 4: Simplify right side
    765.70x = 754,135.66
  5. Step 5: Solve for x
    x = 754,135.66/765.70
  6. Step 6: Final answer
    x = 984.90

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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.