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Finding the Fourth Proportional to 1,162.42, 1,742.79 and 545.78

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Solution

The fourth proportional to 1,162.42, 1,742.79 and 545.78 is: 818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.42 : 1,742.79 = 545.78 : x
  2. Step 2: Convert to fraction form
    1,162.42/1,742.79 = 545.78/x
  3. Step 3: Cross multiply
    1,162.42x = 1,742.79 × 545.78
  4. Step 4: Simplify right side
    1,162.42x = 951,182.04
  5. Step 5: Solve for x
    x = 951,182.04/1,162.42
  6. Step 6: Final answer
    x = 818.28

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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.