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Finding the Fourth Proportional to 874.91, 1,205.92 and 750.71

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Solution

The fourth proportional to 874.91, 1,205.92 and 750.71 is: 1,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.91 : 1,205.92 = 750.71 : x
  2. Step 2: Convert to fraction form
    874.91/1,205.92 = 750.71/x
  3. Step 3: Cross multiply
    874.91x = 1,205.92 × 750.71
  4. Step 4: Simplify right side
    874.91x = 905,296.20
  5. Step 5: Solve for x
    x = 905,296.20/874.91
  6. Step 6: Final answer
    x = 1,034.73

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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.