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Finding the Fourth Proportional to 971.31, 1,456.05 and 537.57

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Solution

The fourth proportional to 971.31, 1,456.05 and 537.57 is: 805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.31 : 1,456.05 = 537.57 : x
  2. Step 2: Convert to fraction form
    971.31/1,456.05 = 537.57/x
  3. Step 3: Cross multiply
    971.31x = 1,456.05 × 537.57
  4. Step 4: Simplify right side
    971.31x = 782,728.80
  5. Step 5: Solve for x
    x = 782,728.80/971.31
  6. Step 6: Final answer
    x = 805.85

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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.