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Finding the Fourth Proportional to 881.34, 1,217.28 and 826.50

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Solution

The fourth proportional to 881.34, 1,217.28 and 826.50 is: 1,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.34 : 1,217.28 = 826.50 : x
  2. Step 2: Convert to fraction form
    881.34/1,217.28 = 826.50/x
  3. Step 3: Cross multiply
    881.34x = 1,217.28 × 826.50
  4. Step 4: Simplify right side
    881.34x = 1,006,081.92
  5. Step 5: Solve for x
    x = 1,006,081.92/881.34
  6. Step 6: Final answer
    x = 1,141.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.