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Finding the Fourth Proportional to 1,231.57, 1,845.53 and 769.87

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Solution

The fourth proportional to 1,231.57, 1,845.53 and 769.87 is: 1,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.57 : 1,845.53 = 769.87 : x
  2. Step 2: Convert to fraction form
    1,231.57/1,845.53 = 769.87/x
  3. Step 3: Cross multiply
    1,231.57x = 1,845.53 × 769.87
  4. Step 4: Simplify right side
    1,231.57x = 1,420,818.18
  5. Step 5: Solve for x
    x = 1,420,818.18/1,231.57
  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.