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Finding the Fourth Proportional to 891.07, 1,337.11 and 343.71

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Solution

The fourth proportional to 891.07, 1,337.11 and 343.71 is: 515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.07 : 1,337.11 = 343.71 : x
  2. Step 2: Convert to fraction form
    891.07/1,337.11 = 343.71/x
  3. Step 3: Cross multiply
    891.07x = 1,337.11 × 343.71
  4. Step 4: Simplify right side
    891.07x = 459,577.22
  5. Step 5: Solve for x
    x = 459,577.22/891.07
  6. Step 6: Final answer
    x = 515.76

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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.