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Finding the Fourth Proportional to 806.80, 1,112.90 and 495.76

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Solution

The fourth proportional to 806.80, 1,112.90 and 495.76 is: 683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.80 : 1,112.90 = 495.76 : x
  2. Step 2: Convert to fraction form
    806.80/1,112.90 = 495.76/x
  3. Step 3: Cross multiply
    806.80x = 1,112.90 × 495.76
  4. Step 4: Simplify right side
    806.80x = 551,731.30
  5. Step 5: Solve for x
    x = 551,731.30/806.80
  6. Step 6: Final answer
    x = 683.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.