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Finding the Fourth Proportional to 951.34, 1,424.22 and 769.08

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Solution

The fourth proportional to 951.34, 1,424.22 and 769.08 is: 1,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.34 : 1,424.22 = 769.08 : x
  2. Step 2: Convert to fraction form
    951.34/1,424.22 = 769.08/x
  3. Step 3: Cross multiply
    951.34x = 1,424.22 × 769.08
  4. Step 4: Simplify right side
    951.34x = 1,095,339.12
  5. Step 5: Solve for x
    x = 1,095,339.12/951.34
  6. Step 6: Final answer
    x = 1,151.36

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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.