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Finding the Fourth Proportional to 951.31, 1,424.87 and 584.99

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Solution

The fourth proportional to 951.31, 1,424.87 and 584.99 is: 876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.31 : 1,424.87 = 584.99 : x
  2. Step 2: Convert to fraction form
    951.31/1,424.87 = 584.99/x
  3. Step 3: Cross multiply
    951.31x = 1,424.87 × 584.99
  4. Step 4: Simplify right side
    951.31x = 833,534.70
  5. Step 5: Solve for x
    x = 833,534.70/951.31
  6. Step 6: Final answer
    x = 876.20

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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.