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Finding the Fourth Proportional to 865.18, 1,296.87 and 402.59

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Solution

The fourth proportional to 865.18, 1,296.87 and 402.59 is: 603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,296.87 = 402.59 : x
  2. Step 2: Convert to fraction form
    865.18/1,296.87 = 402.59/x
  3. Step 3: Cross multiply
    865.18x = 1,296.87 × 402.59
  4. Step 4: Simplify right side
    865.18x = 522,100.41
  5. Step 5: Solve for x
    x = 522,100.41/865.18
  6. Step 6: Final answer
    x = 603.46

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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.