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Finding the Fourth Proportional to 878.39, 1,311.14 and 774.59

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Solution

The fourth proportional to 878.39, 1,311.14 and 774.59 is: 1,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.39 : 1,311.14 = 774.59 : x
  2. Step 2: Convert to fraction form
    878.39/1,311.14 = 774.59/x
  3. Step 3: Cross multiply
    878.39x = 1,311.14 × 774.59
  4. Step 4: Simplify right side
    878.39x = 1,015,591.31
  5. Step 5: Solve for x
    x = 1,015,591.31/878.39
  6. Step 6: Final answer
    x = 1,156.20

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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.