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Finding the Fourth Proportional to 971.85, 1,456.63 and 423.73

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Solution

The fourth proportional to 971.85, 1,456.63 and 423.73 is: 635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.85 : 1,456.63 = 423.73 : x
  2. Step 2: Convert to fraction form
    971.85/1,456.63 = 423.73/x
  3. Step 3: Cross multiply
    971.85x = 1,456.63 × 423.73
  4. Step 4: Simplify right side
    971.85x = 617,220.97
  5. Step 5: Solve for x
    x = 617,220.97/971.85
  6. Step 6: Final answer
    x = 635.10

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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.