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Finding the Fourth Proportional to 1,150.13, 1,723.82 and 418.85

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Solution

The fourth proportional to 1,150.13, 1,723.82 and 418.85 is: 627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.13 : 1,723.82 = 418.85 : x
  2. Step 2: Convert to fraction form
    1,150.13/1,723.82 = 418.85/x
  3. Step 3: Cross multiply
    1,150.13x = 1,723.82 × 418.85
  4. Step 4: Simplify right side
    1,150.13x = 722,011.29
  5. Step 5: Solve for x
    x = 722,011.29/1,150.13
  6. Step 6: Final answer
    x = 627.77

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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.