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Finding the Fourth Proportional to 934.72, 1,290.13 and 541.97

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Solution

The fourth proportional to 934.72, 1,290.13 and 541.97 is: 748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.72 : 1,290.13 = 541.97 : x
  2. Step 2: Convert to fraction form
    934.72/1,290.13 = 541.97/x
  3. Step 3: Cross multiply
    934.72x = 1,290.13 × 541.97
  4. Step 4: Simplify right side
    934.72x = 699,211.76
  5. Step 5: Solve for x
    x = 699,211.76/934.72
  6. Step 6: Final answer
    x = 748.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.