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Finding the Fourth Proportional to 775.57, 1,160.38 and 544.86

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Solution

The fourth proportional to 775.57, 1,160.38 and 544.86 is: 815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.57 : 1,160.38 = 544.86 : x
  2. Step 2: Convert to fraction form
    775.57/1,160.38 = 544.86/x
  3. Step 3: Cross multiply
    775.57x = 1,160.38 × 544.86
  4. Step 4: Simplify right side
    775.57x = 632,244.65
  5. Step 5: Solve for x
    x = 632,244.65/775.57
  6. Step 6: Final answer
    x = 815.20

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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.