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Finding the Fourth Proportional to 951.75, 1,428.23 and 518.91

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Solution

The fourth proportional to 951.75, 1,428.23 and 518.91 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 1,428.23 = 518.91 : x
  2. Step 2: Convert to fraction form
    951.75/1,428.23 = 518.91/x
  3. Step 3: Cross multiply
    951.75x = 1,428.23 × 518.91
  4. Step 4: Simplify right side
    951.75x = 741,118.77
  5. Step 5: Solve for x
    x = 741,118.77/951.75
  6. Step 6: Final answer
    x = 778.69

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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.