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Finding the Fourth Proportional to 868.60, 1,302.90 and 868.60

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Solution

The fourth proportional to 868.60, 1,302.90 and 868.60 is: 1,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.60 : 1,302.90 = 868.60 : x
  2. Step 2: Convert to fraction form
    868.60/1,302.90 = 868.60/x
  3. Step 3: Cross multiply
    868.60x = 1,302.90 × 868.60
  4. Step 4: Simplify right side
    868.60x = 1,131,698.94
  5. Step 5: Solve for x
    x = 1,131,698.94/868.60
  6. Step 6: Final answer
    x = 1,302.90

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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.