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Finding the Fourth Proportional to 864.31, 1,293.69 and 452.87

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Solution

The fourth proportional to 864.31, 1,293.69 and 452.87 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.31 : 1,293.69 = 452.87 : x
  2. Step 2: Convert to fraction form
    864.31/1,293.69 = 452.87/x
  3. Step 3: Cross multiply
    864.31x = 1,293.69 × 452.87
  4. Step 4: Simplify right side
    864.31x = 585,871.13
  5. Step 5: Solve for x
    x = 585,871.13/864.31
  6. Step 6: Final answer
    x = 677.85

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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.