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Finding the Fourth Proportional to 765.86, 1,057.05 and 516.98

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Solution

The fourth proportional to 765.86, 1,057.05 and 516.98 is: 713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.86 : 1,057.05 = 516.98 : x
  2. Step 2: Convert to fraction form
    765.86/1,057.05 = 516.98/x
  3. Step 3: Cross multiply
    765.86x = 1,057.05 × 516.98
  4. Step 4: Simplify right side
    765.86x = 546,476.35
  5. Step 5: Solve for x
    x = 546,476.35/765.86
  6. Step 6: Final answer
    x = 713.55

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Why These Related Problems?

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