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Finding the Fourth Proportional to 798.96, 1,195.32 and 691.92

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Solution

The fourth proportional to 798.96, 1,195.32 and 691.92 is: 1,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.96 : 1,195.32 = 691.92 : x
  2. Step 2: Convert to fraction form
    798.96/1,195.32 = 691.92/x
  3. Step 3: Cross multiply
    798.96x = 1,195.32 × 691.92
  4. Step 4: Simplify right side
    798.96x = 827,065.81
  5. Step 5: Solve for x
    x = 827,065.81/798.96
  6. Step 6: Final answer
    x = 1,035.18

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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.