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Finding the Fourth Proportional to 926.28, 1,391.04 and 731.48

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Solution

The fourth proportional to 926.28, 1,391.04 and 731.48 is: 1,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.28 : 1,391.04 = 731.48 : x
  2. Step 2: Convert to fraction form
    926.28/1,391.04 = 731.48/x
  3. Step 3: Cross multiply
    926.28x = 1,391.04 × 731.48
  4. Step 4: Simplify right side
    926.28x = 1,017,510.98
  5. Step 5: Solve for x
    x = 1,017,510.98/926.28
  6. Step 6: Final answer
    x = 1,098.49

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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.