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Finding the Fourth Proportional to 711.86, 1,065.45 and 502.71

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Solution

The fourth proportional to 711.86, 1,065.45 and 502.71 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 1,065.45 = 502.71 : x
  2. Step 2: Convert to fraction form
    711.86/1,065.45 = 502.71/x
  3. Step 3: Cross multiply
    711.86x = 1,065.45 × 502.71
  4. Step 4: Simplify right side
    711.86x = 535,610.26
  5. Step 5: Solve for x
    x = 535,610.26/711.86
  6. Step 6: Final answer
    x = 752.41

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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.