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Finding the Fourth Proportional to 864.44, 1,296.92 and 402.49

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Solution

The fourth proportional to 864.44, 1,296.92 and 402.49 is: 603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.44 : 1,296.92 = 402.49 : x
  2. Step 2: Convert to fraction form
    864.44/1,296.92 = 402.49/x
  3. Step 3: Cross multiply
    864.44x = 1,296.92 × 402.49
  4. Step 4: Simplify right side
    864.44x = 522,001.64
  5. Step 5: Solve for x
    x = 522,001.64/864.44
  6. Step 6: Final answer
    x = 603.86

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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.