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Finding the Fourth Proportional to 1,139.36, 1,710.18 and 767.97

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Solution

The fourth proportional to 1,139.36, 1,710.18 and 767.97 is: 1,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.36 : 1,710.18 = 767.97 : x
  2. Step 2: Convert to fraction form
    1,139.36/1,710.18 = 767.97/x
  3. Step 3: Cross multiply
    1,139.36x = 1,710.18 × 767.97
  4. Step 4: Simplify right side
    1,139.36x = 1,313,366.93
  5. Step 5: Solve for x
    x = 1,313,366.93/1,139.36
  6. Step 6: Final answer
    x = 1,152.73

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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.