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Finding the Fourth Proportional to 1,140.56, 1,709.78 and 447.69

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Solution

The fourth proportional to 1,140.56, 1,709.78 and 447.69 is: 671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.56 : 1,709.78 = 447.69 : x
  2. Step 2: Convert to fraction form
    1,140.56/1,709.78 = 447.69/x
  3. Step 3: Cross multiply
    1,140.56x = 1,709.78 × 447.69
  4. Step 4: Simplify right side
    1,140.56x = 765,449.17
  5. Step 5: Solve for x
    x = 765,449.17/1,140.56
  6. Step 6: Final answer
    x = 671.12

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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.