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Finding the Fourth Proportional to 1,139.62, 1,571.89 and 720.51

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Solution

The fourth proportional to 1,139.62, 1,571.89 and 720.51 is: 993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.62 : 1,571.89 = 720.51 : x
  2. Step 2: Convert to fraction form
    1,139.62/1,571.89 = 720.51/x
  3. Step 3: Cross multiply
    1,139.62x = 1,571.89 × 720.51
  4. Step 4: Simplify right side
    1,139.62x = 1,132,562.46
  5. Step 5: Solve for x
    x = 1,132,562.46/1,139.62
  6. Step 6: Final answer
    x = 993.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.