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Finding the Fourth Proportional to 891.23, 1,337.09 and 343.46

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Solution

The fourth proportional to 891.23, 1,337.09 and 343.46 is: 515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.23 : 1,337.09 = 343.46 : x
  2. Step 2: Convert to fraction form
    891.23/1,337.09 = 343.46/x
  3. Step 3: Cross multiply
    891.23x = 1,337.09 × 343.46
  4. Step 4: Simplify right side
    891.23x = 459,228.53
  5. Step 5: Solve for x
    x = 459,228.53/891.23
  6. Step 6: Final answer
    x = 515.28

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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.