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Finding the Fourth Proportional to 865.38, 1,297.89 and 514.12

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Solution

The fourth proportional to 865.38, 1,297.89 and 514.12 is: 771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,297.89 = 514.12 : x
  2. Step 2: Convert to fraction form
    865.38/1,297.89 = 514.12/x
  3. Step 3: Cross multiply
    865.38x = 1,297.89 × 514.12
  4. Step 4: Simplify right side
    865.38x = 667,271.21
  5. Step 5: Solve for x
    x = 667,271.21/865.38
  6. Step 6: Final answer
    x = 771.07

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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.