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Finding the Fourth Proportional to 951.26, 1,312.08 and 826.70

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Solution

The fourth proportional to 951.26, 1,312.08 and 826.70 is: 1,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.26 : 1,312.08 = 826.70 : x
  2. Step 2: Convert to fraction form
    951.26/1,312.08 = 826.70/x
  3. Step 3: Cross multiply
    951.26x = 1,312.08 × 826.70
  4. Step 4: Simplify right side
    951.26x = 1,084,702.92
  5. Step 5: Solve for x
    x = 1,084,702.92/951.26
  6. Step 6: Final answer
    x = 1,140.29

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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.