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Finding the Fourth Proportional to 1,195.15, 1,648.95 and 723.22

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Solution

The fourth proportional to 1,195.15, 1,648.95 and 723.22 is: 997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.15 : 1,648.95 = 723.22 : x
  2. Step 2: Convert to fraction form
    1,195.15/1,648.95 = 723.22/x
  3. Step 3: Cross multiply
    1,195.15x = 1,648.95 × 723.22
  4. Step 4: Simplify right side
    1,195.15x = 1,192,553.62
  5. Step 5: Solve for x
    x = 1,192,553.62/1,195.15
  6. Step 6: Final answer
    x = 997.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.