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Finding the Fourth Proportional to 1,013.77, 1,399.00 and 571.81

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Solution

The fourth proportional to 1,013.77, 1,399.00 and 571.81 is: 789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.77 : 1,399.00 = 571.81 : x
  2. Step 2: Convert to fraction form
    1,013.77/1,399.00 = 571.81/x
  3. Step 3: Cross multiply
    1,013.77x = 1,399.00 × 571.81
  4. Step 4: Simplify right side
    1,013.77x = 799,959.35
  5. Step 5: Solve for x
    x = 799,959.35/1,013.77
  6. Step 6: Final answer
    x = 789.10

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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.