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Finding the Fourth Proportional to 1,013.82, 1,399.11 and 571.70

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Solution

The fourth proportional to 1,013.82, 1,399.11 and 571.70 is: 788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.82 : 1,399.11 = 571.70 : x
  2. Step 2: Convert to fraction form
    1,013.82/1,399.11 = 571.70/x
  3. Step 3: Cross multiply
    1,013.82x = 1,399.11 × 571.70
  4. Step 4: Simplify right side
    1,013.82x = 799,864.19
  5. Step 5: Solve for x
    x = 799,864.19/1,013.82
  6. Step 6: Final answer
    x = 788.96

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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.