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Finding the Fourth Proportional to 862.69, 1,294.28 and 731.34

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Solution

The fourth proportional to 862.69, 1,294.28 and 731.34 is: 1,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.69 : 1,294.28 = 731.34 : x
  2. Step 2: Convert to fraction form
    862.69/1,294.28 = 731.34/x
  3. Step 3: Cross multiply
    862.69x = 1,294.28 × 731.34
  4. Step 4: Simplify right side
    862.69x = 946,558.74
  5. Step 5: Solve for x
    x = 946,558.74/862.69
  6. Step 6: Final answer
    x = 1,097.22

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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.