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Finding the Fourth Proportional to 1,163.60, 1,743.92 and 545.95

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Solution

The fourth proportional to 1,163.60, 1,743.92 and 545.95 is: 818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.60 : 1,743.92 = 545.95 : x
  2. Step 2: Convert to fraction form
    1,163.60/1,743.92 = 545.95/x
  3. Step 3: Cross multiply
    1,163.60x = 1,743.92 × 545.95
  4. Step 4: Simplify right side
    1,163.60x = 952,081.67
  5. Step 5: Solve for x
    x = 952,081.67/1,163.60
  6. Step 6: Final answer
    x = 818.22

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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.