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Finding the Fourth Proportional to 765.92, 1,146.36 and 440.48

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Solution

The fourth proportional to 765.92, 1,146.36 and 440.48 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.92 : 1,146.36 = 440.48 : x
  2. Step 2: Convert to fraction form
    765.92/1,146.36 = 440.48/x
  3. Step 3: Cross multiply
    765.92x = 1,146.36 × 440.48
  4. Step 4: Simplify right side
    765.92x = 504,948.65
  5. Step 5: Solve for x
    x = 504,948.65/765.92
  6. Step 6: Final answer
    x = 659.27

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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.