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Finding the Fourth Proportional to 888.60, 1,329.34 and 768.16

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Solution

The fourth proportional to 888.60, 1,329.34 and 768.16 is: 1,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.60 : 1,329.34 = 768.16 : x
  2. Step 2: Convert to fraction form
    888.60/1,329.34 = 768.16/x
  3. Step 3: Cross multiply
    888.60x = 1,329.34 × 768.16
  4. Step 4: Simplify right side
    888.60x = 1,021,145.81
  5. Step 5: Solve for x
    x = 1,021,145.81/888.60
  6. Step 6: Final answer
    x = 1,149.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.