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Finding the Fourth Proportional to 748.77, 1,120.42 and 440.77

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Solution

The fourth proportional to 748.77, 1,120.42 and 440.77 is: 659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.77 : 1,120.42 = 440.77 : x
  2. Step 2: Convert to fraction form
    748.77/1,120.42 = 440.77/x
  3. Step 3: Cross multiply
    748.77x = 1,120.42 × 440.77
  4. Step 4: Simplify right side
    748.77x = 493,847.52
  5. Step 5: Solve for x
    x = 493,847.52/748.77
  6. Step 6: Final answer
    x = 659.55

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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.