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Finding the Fourth Proportional to 892.42, 1,339.08 and 824.76

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Solution

The fourth proportional to 892.42, 1,339.08 and 824.76 is: 1,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.42 : 1,339.08 = 824.76 : x
  2. Step 2: Convert to fraction form
    892.42/1,339.08 = 824.76/x
  3. Step 3: Cross multiply
    892.42x = 1,339.08 × 824.76
  4. Step 4: Simplify right side
    892.42x = 1,104,417.40
  5. Step 5: Solve for x
    x = 1,104,417.40/892.42
  6. Step 6: Final answer
    x = 1,237.56

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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.