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Finding the Fourth Proportional to 951.39, 1,312.80 and 531.76

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Solution

The fourth proportional to 951.39, 1,312.80 and 531.76 is: 733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.39 : 1,312.80 = 531.76 : x
  2. Step 2: Convert to fraction form
    951.39/1,312.80 = 531.76/x
  3. Step 3: Cross multiply
    951.39x = 1,312.80 × 531.76
  4. Step 4: Simplify right side
    951.39x = 698,091.25
  5. Step 5: Solve for x
    x = 698,091.25/951.39
  6. Step 6: Final answer
    x = 733.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.