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Finding the Fourth Proportional to 971.01, 1,454.49 and 724.57

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Solution

The fourth proportional to 971.01, 1,454.49 and 724.57 is: 1,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.01 : 1,454.49 = 724.57 : x
  2. Step 2: Convert to fraction form
    971.01/1,454.49 = 724.57/x
  3. Step 3: Cross multiply
    971.01x = 1,454.49 × 724.57
  4. Step 4: Simplify right side
    971.01x = 1,053,876.18
  5. Step 5: Solve for x
    x = 1,053,876.18/971.01
  6. Step 6: Final answer
    x = 1,085.34

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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.