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Finding the Fourth Proportional to 865.86, 1,297.98 and 432.54

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Solution

The fourth proportional to 865.86, 1,297.98 and 432.54 is: 648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.86 : 1,297.98 = 432.54 : x
  2. Step 2: Convert to fraction form
    865.86/1,297.98 = 432.54/x
  3. Step 3: Cross multiply
    865.86x = 1,297.98 × 432.54
  4. Step 4: Simplify right side
    865.86x = 561,428.27
  5. Step 5: Solve for x
    x = 561,428.27/865.86
  6. Step 6: Final answer
    x = 648.41

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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.