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Finding the Fourth Proportional to 856.62, 1,283.52 and 769.44

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Solution

The fourth proportional to 856.62, 1,283.52 and 769.44 is: 1,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.62 : 1,283.52 = 769.44 : x
  2. Step 2: Convert to fraction form
    856.62/1,283.52 = 769.44/x
  3. Step 3: Cross multiply
    856.62x = 1,283.52 × 769.44
  4. Step 4: Simplify right side
    856.62x = 987,591.63
  5. Step 5: Solve for x
    x = 987,591.63/856.62
  6. Step 6: Final answer
    x = 1,152.89

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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.