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Finding the Fourth Proportional to 1,058.54, 1,581.70 and 731.30

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Solution

The fourth proportional to 1,058.54, 1,581.70 and 731.30 is: 1,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.54 : 1,581.70 = 731.30 : x
  2. Step 2: Convert to fraction form
    1,058.54/1,581.70 = 731.30/x
  3. Step 3: Cross multiply
    1,058.54x = 1,581.70 × 731.30
  4. Step 4: Simplify right side
    1,058.54x = 1,156,697.21
  5. Step 5: Solve for x
    x = 1,156,697.21/1,058.54
  6. Step 6: Final answer
    x = 1,092.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.