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Finding the Fourth Proportional to 876.30, 1,314.45 and 773.70

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Solution

The fourth proportional to 876.30, 1,314.45 and 773.70 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.30 : 1,314.45 = 773.70 : x
  2. Step 2: Convert to fraction form
    876.30/1,314.45 = 773.70/x
  3. Step 3: Cross multiply
    876.30x = 1,314.45 × 773.70
  4. Step 4: Simplify right side
    876.30x = 1,016,989.97
  5. Step 5: Solve for x
    x = 1,016,989.97/876.30
  6. Step 6: Final answer
    x = 1,160.55

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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.