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Finding the Fourth Proportional to 951.29, 1,424.29 and 488.06

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Solution

The fourth proportional to 951.29, 1,424.29 and 488.06 is: 730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.29 : 1,424.29 = 488.06 : x
  2. Step 2: Convert to fraction form
    951.29/1,424.29 = 488.06/x
  3. Step 3: Cross multiply
    951.29x = 1,424.29 × 488.06
  4. Step 4: Simplify right side
    951.29x = 695,136.54
  5. Step 5: Solve for x
    x = 695,136.54/951.29
  6. Step 6: Final answer
    x = 730.73

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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.