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Finding the Fourth Proportional to 951.35, 1,308.29 and 827.15

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Solution

The fourth proportional to 951.35, 1,308.29 and 827.15 is: 1,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.35 : 1,308.29 = 827.15 : x
  2. Step 2: Convert to fraction form
    951.35/1,308.29 = 827.15/x
  3. Step 3: Cross multiply
    951.35x = 1,308.29 × 827.15
  4. Step 4: Simplify right side
    951.35x = 1,082,141.40
  5. Step 5: Solve for x
    x = 1,082,141.40/951.35
  6. Step 6: Final answer
    x = 1,137.49

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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.