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Finding the Fourth Proportional to 1,465.27, 2,197.47 and 798.07

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Solution

The fourth proportional to 1,465.27, 2,197.47 and 798.07 is: 1,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.27 : 2,197.47 = 798.07 : x
  2. Step 2: Convert to fraction form
    1,465.27/2,197.47 = 798.07/x
  3. Step 3: Cross multiply
    1,465.27x = 2,197.47 × 798.07
  4. Step 4: Simplify right side
    1,465.27x = 1,753,723.90
  5. Step 5: Solve for x
    x = 1,753,723.90/1,465.27
  6. Step 6: Final answer
    x = 1,196.86

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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.