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Finding the Fourth Proportional to 878.92, 1,313.50 and 769.57

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Solution

The fourth proportional to 878.92, 1,313.50 and 769.57 is: 1,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,313.50 = 769.57 : x
  2. Step 2: Convert to fraction form
    878.92/1,313.50 = 769.57/x
  3. Step 3: Cross multiply
    878.92x = 1,313.50 × 769.57
  4. Step 4: Simplify right side
    878.92x = 1,010,830.20
  5. Step 5: Solve for x
    x = 1,010,830.20/878.92
  6. Step 6: Final answer
    x = 1,150.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.