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Finding the Fourth Proportional to 1,163.96, 1,746.85 and 515.15

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Solution

The fourth proportional to 1,163.96, 1,746.85 and 515.15 is: 773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.96 : 1,746.85 = 515.15 : x
  2. Step 2: Convert to fraction form
    1,163.96/1,746.85 = 515.15/x
  3. Step 3: Cross multiply
    1,163.96x = 1,746.85 × 515.15
  4. Step 4: Simplify right side
    1,163.96x = 899,889.78
  5. Step 5: Solve for x
    x = 899,889.78/1,163.96
  6. Step 6: Final answer
    x = 773.13

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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.