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Finding the Fourth Proportional to 773.96, 1,159.68 and 745.16

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Solution

The fourth proportional to 773.96, 1,159.68 and 745.16 is: 1,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.96 : 1,159.68 = 745.16 : x
  2. Step 2: Convert to fraction form
    773.96/1,159.68 = 745.16/x
  3. Step 3: Cross multiply
    773.96x = 1,159.68 × 745.16
  4. Step 4: Simplify right side
    773.96x = 864,147.15
  5. Step 5: Solve for x
    x = 864,147.15/773.96
  6. Step 6: Final answer
    x = 1,116.53

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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.