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Finding the Fourth Proportional to 868.08, 1,299.60 and 827.76

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Solution

The fourth proportional to 868.08, 1,299.60 and 827.76 is: 1,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.08 : 1,299.60 = 827.76 : x
  2. Step 2: Convert to fraction form
    868.08/1,299.60 = 827.76/x
  3. Step 3: Cross multiply
    868.08x = 1,299.60 × 827.76
  4. Step 4: Simplify right side
    868.08x = 1,075,756.90
  5. Step 5: Solve for x
    x = 1,075,756.90/868.08
  6. Step 6: Final answer
    x = 1,239.24

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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.