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Finding the Fourth Proportional to 1,213.11, 1,816.68 and 691.83

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Solution

The fourth proportional to 1,213.11, 1,816.68 and 691.83 is: 1,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.11 : 1,816.68 = 691.83 : x
  2. Step 2: Convert to fraction form
    1,213.11/1,816.68 = 691.83/x
  3. Step 3: Cross multiply
    1,213.11x = 1,816.68 × 691.83
  4. Step 4: Simplify right side
    1,213.11x = 1,256,831.62
  5. Step 5: Solve for x
    x = 1,256,831.62/1,213.11
  6. Step 6: Final answer
    x = 1,036.04

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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.