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Finding the Fourth Proportional to 865.74, 1,298.04 and 500.58

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Solution

The fourth proportional to 865.74, 1,298.04 and 500.58 is: 750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.74 : 1,298.04 = 500.58 : x
  2. Step 2: Convert to fraction form
    865.74/1,298.04 = 500.58/x
  3. Step 3: Cross multiply
    865.74x = 1,298.04 × 500.58
  4. Step 4: Simplify right side
    865.74x = 649,772.86
  5. Step 5: Solve for x
    x = 649,772.86/865.74
  6. Step 6: Final answer
    x = 750.54

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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.