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Finding the Fourth Proportional to 1,149.14, 1,723.72 and 418.72

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Solution

The fourth proportional to 1,149.14, 1,723.72 and 418.72 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.14 : 1,723.72 = 418.72 : x
  2. Step 2: Convert to fraction form
    1,149.14/1,723.72 = 418.72/x
  3. Step 3: Cross multiply
    1,149.14x = 1,723.72 × 418.72
  4. Step 4: Simplify right side
    1,149.14x = 721,756.04
  5. Step 5: Solve for x
    x = 721,756.04/1,149.14
  6. Step 6: Final answer
    x = 628.08

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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.