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Finding the Fourth Proportional to 864.56, 1,296.42 and 453.29

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Solution

The fourth proportional to 864.56, 1,296.42 and 453.29 is: 679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.56 : 1,296.42 = 453.29 : x
  2. Step 2: Convert to fraction form
    864.56/1,296.42 = 453.29/x
  3. Step 3: Cross multiply
    864.56x = 1,296.42 × 453.29
  4. Step 4: Simplify right side
    864.56x = 587,647.74
  5. Step 5: Solve for x
    x = 587,647.74/864.56
  6. Step 6: Final answer
    x = 679.71

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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.