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Finding the Fourth Proportional to 869.17, 1,299.86 and 772.27

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Solution

The fourth proportional to 869.17, 1,299.86 and 772.27 is: 1,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.17 : 1,299.86 = 772.27 : x
  2. Step 2: Convert to fraction form
    869.17/1,299.86 = 772.27/x
  3. Step 3: Cross multiply
    869.17x = 1,299.86 × 772.27
  4. Step 4: Simplify right side
    869.17x = 1,003,842.88
  5. Step 5: Solve for x
    x = 1,003,842.88/869.17
  6. Step 6: Final answer
    x = 1,154.94

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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.