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Finding the Fourth Proportional to 891.34, 1,337.01 and 824.38

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Solution

The fourth proportional to 891.34, 1,337.01 and 824.38 is: 1,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.34 : 1,337.01 = 824.38 : x
  2. Step 2: Convert to fraction form
    891.34/1,337.01 = 824.38/x
  3. Step 3: Cross multiply
    891.34x = 1,337.01 × 824.38
  4. Step 4: Simplify right side
    891.34x = 1,102,204.30
  5. Step 5: Solve for x
    x = 1,102,204.30/891.34
  6. Step 6: Final answer
    x = 1,236.57

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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.