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Finding the Fourth Proportional to 1,115.85, 1,675.41 and 769.71

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Solution

The fourth proportional to 1,115.85, 1,675.41 and 769.71 is: 1,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.85 : 1,675.41 = 769.71 : x
  2. Step 2: Convert to fraction form
    1,115.85/1,675.41 = 769.71/x
  3. Step 3: Cross multiply
    1,115.85x = 1,675.41 × 769.71
  4. Step 4: Simplify right side
    1,115.85x = 1,289,579.83
  5. Step 5: Solve for x
    x = 1,289,579.83/1,115.85
  6. Step 6: Final answer
    x = 1,155.69

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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.