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Finding the Fourth Proportional to 750.92, 1,125.60 and 506.86

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Solution

The fourth proportional to 750.92, 1,125.60 and 506.86 is: 759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.92 : 1,125.60 = 506.86 : x
  2. Step 2: Convert to fraction form
    750.92/1,125.60 = 506.86/x
  3. Step 3: Cross multiply
    750.92x = 1,125.60 × 506.86
  4. Step 4: Simplify right side
    750.92x = 570,521.62
  5. Step 5: Solve for x
    x = 570,521.62/750.92
  6. Step 6: Final answer
    x = 759.76

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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.