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Finding the Fourth Proportional to 951.33, 1,427.04 and 769.08

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Solution

The fourth proportional to 951.33, 1,427.04 and 769.08 is: 1,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.33 : 1,427.04 = 769.08 : x
  2. Step 2: Convert to fraction form
    951.33/1,427.04 = 769.08/x
  3. Step 3: Cross multiply
    951.33x = 1,427.04 × 769.08
  4. Step 4: Simplify right side
    951.33x = 1,097,507.92
  5. Step 5: Solve for x
    x = 1,097,507.92/951.33
  6. Step 6: Final answer
    x = 1,153.66

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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.