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Finding the Fourth Proportional to 864.46, 1,296.69 and 453.52

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Solution

The fourth proportional to 864.46, 1,296.69 and 453.52 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.46 : 1,296.69 = 453.52 : x
  2. Step 2: Convert to fraction form
    864.46/1,296.69 = 453.52/x
  3. Step 3: Cross multiply
    864.46x = 1,296.69 × 453.52
  4. Step 4: Simplify right side
    864.46x = 588,074.85
  5. Step 5: Solve for x
    x = 588,074.85/864.46
  6. Step 6: Final answer
    x = 680.28

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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.