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Finding the Fourth Proportional to 1,013.94, 1,399.31 and 571.93

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Solution

The fourth proportional to 1,013.94, 1,399.31 and 571.93 is: 789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.94 : 1,399.31 = 571.93 : x
  2. Step 2: Convert to fraction form
    1,013.94/1,399.31 = 571.93/x
  3. Step 3: Cross multiply
    1,013.94x = 1,399.31 × 571.93
  4. Step 4: Simplify right side
    1,013.94x = 800,309.00
  5. Step 5: Solve for x
    x = 800,309.00/1,013.94
  6. Step 6: Final answer
    x = 789.31

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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.