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Finding the Fourth Proportional to 1,162.07, 1,743.69 and 545.75

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Solution

The fourth proportional to 1,162.07, 1,743.69 and 545.75 is: 818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.07 : 1,743.69 = 545.75 : x
  2. Step 2: Convert to fraction form
    1,162.07/1,743.69 = 545.75/x
  3. Step 3: Cross multiply
    1,162.07x = 1,743.69 × 545.75
  4. Step 4: Simplify right side
    1,162.07x = 951,618.82
  5. Step 5: Solve for x
    x = 951,618.82/1,162.07
  6. Step 6: Final answer
    x = 818.90

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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.