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Finding the Fourth Proportional to 865.26, 1,299.15 and 500.76

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Solution

The fourth proportional to 865.26, 1,299.15 and 500.76 is: 751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.26 : 1,299.15 = 500.76 : x
  2. Step 2: Convert to fraction form
    865.26/1,299.15 = 500.76/x
  3. Step 3: Cross multiply
    865.26x = 1,299.15 × 500.76
  4. Step 4: Simplify right side
    865.26x = 650,562.35
  5. Step 5: Solve for x
    x = 650,562.35/865.26
  6. Step 6: Final answer
    x = 751.87

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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.