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Finding the Fourth Proportional to 865.89, 1,297.63 and 475.42

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Solution

The fourth proportional to 865.89, 1,297.63 and 475.42 is: 712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.89 : 1,297.63 = 475.42 : x
  2. Step 2: Convert to fraction form
    865.89/1,297.63 = 475.42/x
  3. Step 3: Cross multiply
    865.89x = 1,297.63 × 475.42
  4. Step 4: Simplify right side
    865.89x = 616,919.25
  5. Step 5: Solve for x
    x = 616,919.25/865.89
  6. Step 6: Final answer
    x = 712.47

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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.