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Finding the Fourth Proportional to 891.05, 1,229.57 and 492.71

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Solution

The fourth proportional to 891.05, 1,229.57 and 492.71 is: 679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.05 : 1,229.57 = 492.71 : x
  2. Step 2: Convert to fraction form
    891.05/1,229.57 = 492.71/x
  3. Step 3: Cross multiply
    891.05x = 1,229.57 × 492.71
  4. Step 4: Simplify right side
    891.05x = 605,816.52
  5. Step 5: Solve for x
    x = 605,816.52/891.05
  6. Step 6: Final answer
    x = 679.89

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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.