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Finding the Fourth Proportional to 971.80, 1,456.76 and 322.12

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Solution

The fourth proportional to 971.80, 1,456.76 and 322.12 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.80 : 1,456.76 = 322.12 : x
  2. Step 2: Convert to fraction form
    971.80/1,456.76 = 322.12/x
  3. Step 3: Cross multiply
    971.80x = 1,456.76 × 322.12
  4. Step 4: Simplify right side
    971.80x = 469,251.53
  5. Step 5: Solve for x
    x = 469,251.53/971.80
  6. Step 6: Final answer
    x = 482.87

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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.