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Finding the Fourth Proportional to 763.11, 1,142.60 and 516.15

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Solution

The fourth proportional to 763.11, 1,142.60 and 516.15 is: 772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.11 : 1,142.60 = 516.15 : x
  2. Step 2: Convert to fraction form
    763.11/1,142.60 = 516.15/x
  3. Step 3: Cross multiply
    763.11x = 1,142.60 × 516.15
  4. Step 4: Simplify right side
    763.11x = 589,750.41
  5. Step 5: Solve for x
    x = 589,750.41/763.11
  6. Step 6: Final answer
    x = 772.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.