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Finding the Fourth Proportional to 864.73, 1,296.13 and 453.91

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Solution

The fourth proportional to 864.73, 1,296.13 and 453.91 is: 680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.73 : 1,296.13 = 453.91 : x
  2. Step 2: Convert to fraction form
    864.73/1,296.13 = 453.91/x
  3. Step 3: Cross multiply
    864.73x = 1,296.13 × 453.91
  4. Step 4: Simplify right side
    864.73x = 588,324.10
  5. Step 5: Solve for x
    x = 588,324.10/864.73
  6. Step 6: Final answer
    x = 680.36

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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.