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Finding the Fourth Proportional to 865.02, 1,297.77 and 499.14

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Solution

The fourth proportional to 865.02, 1,297.77 and 499.14 is: 748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.02 : 1,297.77 = 499.14 : x
  2. Step 2: Convert to fraction form
    865.02/1,297.77 = 499.14/x
  3. Step 3: Cross multiply
    865.02x = 1,297.77 × 499.14
  4. Step 4: Simplify right side
    865.02x = 647,768.92
  5. Step 5: Solve for x
    x = 647,768.92/865.02
  6. Step 6: Final answer
    x = 748.85

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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.