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Finding the Fourth Proportional to 891.78, 1,337.40 and 344.22

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Solution

The fourth proportional to 891.78, 1,337.40 and 344.22 is: 516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.78 : 1,337.40 = 344.22 : x
  2. Step 2: Convert to fraction form
    891.78/1,337.40 = 344.22/x
  3. Step 3: Cross multiply
    891.78x = 1,337.40 × 344.22
  4. Step 4: Simplify right side
    891.78x = 460,359.83
  5. Step 5: Solve for x
    x = 460,359.83/891.78
  6. Step 6: Final answer
    x = 516.23

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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.