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Finding the Fourth Proportional to 876.60, 1,314.90 and 806.20

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Solution

The fourth proportional to 876.60, 1,314.90 and 806.20 is: 1,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,314.90 = 806.20 : x
  2. Step 2: Convert to fraction form
    876.60/1,314.90 = 806.20/x
  3. Step 3: Cross multiply
    876.60x = 1,314.90 × 806.20
  4. Step 4: Simplify right side
    876.60x = 1,060,072.38
  5. Step 5: Solve for x
    x = 1,060,072.38/876.60
  6. Step 6: Final answer
    x = 1,209.30

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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.