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Finding the Fourth Proportional to 971.72, 1,456.32 and 423.80

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Solution

The fourth proportional to 971.72, 1,456.32 and 423.80 is: 635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.72 : 1,456.32 = 423.80 : x
  2. Step 2: Convert to fraction form
    971.72/1,456.32 = 423.80/x
  3. Step 3: Cross multiply
    971.72x = 1,456.32 × 423.80
  4. Step 4: Simplify right side
    971.72x = 617,188.42
  5. Step 5: Solve for x
    x = 617,188.42/971.72
  6. Step 6: Final answer
    x = 635.15

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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.