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Finding the Fourth Proportional to 951.84, 1,427.97 and 458.42

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Solution

The fourth proportional to 951.84, 1,427.97 and 458.42 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.84 : 1,427.97 = 458.42 : x
  2. Step 2: Convert to fraction form
    951.84/1,427.97 = 458.42/x
  3. Step 3: Cross multiply
    951.84x = 1,427.97 × 458.42
  4. Step 4: Simplify right side
    951.84x = 654,602.87
  5. Step 5: Solve for x
    x = 654,602.87/951.84
  6. Step 6: Final answer
    x = 687.72

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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.