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Finding the Fourth Proportional to 868.71, 1,301.36 and 824.43

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Solution

The fourth proportional to 868.71, 1,301.36 and 824.43 is: 1,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.71 : 1,301.36 = 824.43 : x
  2. Step 2: Convert to fraction form
    868.71/1,301.36 = 824.43/x
  3. Step 3: Cross multiply
    868.71x = 1,301.36 × 824.43
  4. Step 4: Simplify right side
    868.71x = 1,072,876.10
  5. Step 5: Solve for x
    x = 1,072,876.10/868.71
  6. Step 6: Final answer
    x = 1,235.02

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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.