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Finding the Fourth Proportional to 892.82, 1,230.88 and 769.78

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Solution

The fourth proportional to 892.82, 1,230.88 and 769.78 is: 1,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.82 : 1,230.88 = 769.78 : x
  2. Step 2: Convert to fraction form
    892.82/1,230.88 = 769.78/x
  3. Step 3: Cross multiply
    892.82x = 1,230.88 × 769.78
  4. Step 4: Simplify right side
    892.82x = 947,506.81
  5. Step 5: Solve for x
    x = 947,506.81/892.82
  6. Step 6: Final answer
    x = 1,061.25

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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.