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Finding the Fourth Proportional to 1,162.62, 1,742.67 and 545.94

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Solution

The fourth proportional to 1,162.62, 1,742.67 and 545.94 is: 818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.62 : 1,742.67 = 545.94 : x
  2. Step 2: Convert to fraction form
    1,162.62/1,742.67 = 545.94/x
  3. Step 3: Cross multiply
    1,162.62x = 1,742.67 × 545.94
  4. Step 4: Simplify right side
    1,162.62x = 951,393.26
  5. Step 5: Solve for x
    x = 951,393.26/1,162.62
  6. Step 6: Final answer
    x = 818.32

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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.