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Finding the Fourth Proportional to 951.07, 1,312.41 and 531.40

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Solution

The fourth proportional to 951.07, 1,312.41 and 531.40 is: 733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.07 : 1,312.41 = 531.40 : x
  2. Step 2: Convert to fraction form
    951.07/1,312.41 = 531.40/x
  3. Step 3: Cross multiply
    951.07x = 1,312.41 × 531.40
  4. Step 4: Simplify right side
    951.07x = 697,414.67
  5. Step 5: Solve for x
    x = 697,414.67/951.07
  6. Step 6: Final answer
    x = 733.29

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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.