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Finding the Fourth Proportional to 1,139.78, 1,709.67 and 880.16

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Solution

The fourth proportional to 1,139.78, 1,709.67 and 880.16 is: 1,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.78 : 1,709.67 = 880.16 : x
  2. Step 2: Convert to fraction form
    1,139.78/1,709.67 = 880.16/x
  3. Step 3: Cross multiply
    1,139.78x = 1,709.67 × 880.16
  4. Step 4: Simplify right side
    1,139.78x = 1,504,785.35
  5. Step 5: Solve for x
    x = 1,504,785.35/1,139.78
  6. Step 6: Final answer
    x = 1,320.24

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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.