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Finding the Fourth Proportional to 971.14, 1,456.47 and 450.64

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Solution

The fourth proportional to 971.14, 1,456.47 and 450.64 is: 675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.14 : 1,456.47 = 450.64 : x
  2. Step 2: Convert to fraction form
    971.14/1,456.47 = 450.64/x
  3. Step 3: Cross multiply
    971.14x = 1,456.47 × 450.64
  4. Step 4: Simplify right side
    971.14x = 656,343.64
  5. Step 5: Solve for x
    x = 656,343.64/971.14
  6. Step 6: Final answer
    x = 675.85

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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.