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Finding the Fourth Proportional to 891.46, 1,337.49 and 275.14

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Solution

The fourth proportional to 891.46, 1,337.49 and 275.14 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.46 : 1,337.49 = 275.14 : x
  2. Step 2: Convert to fraction form
    891.46/1,337.49 = 275.14/x
  3. Step 3: Cross multiply
    891.46x = 1,337.49 × 275.14
  4. Step 4: Simplify right side
    891.46x = 367,997.00
  5. Step 5: Solve for x
    x = 367,997.00/891.46
  6. Step 6: Final answer
    x = 412.80

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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.