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Finding the Fourth Proportional to 1,013.97, 1,399.14 and 620.91

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Solution

The fourth proportional to 1,013.97, 1,399.14 and 620.91 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.97 : 1,399.14 = 620.91 : x
  2. Step 2: Convert to fraction form
    1,013.97/1,399.14 = 620.91/x
  3. Step 3: Cross multiply
    1,013.97x = 1,399.14 × 620.91
  4. Step 4: Simplify right side
    1,013.97x = 868,740.02
  5. Step 5: Solve for x
    x = 868,740.02/1,013.97
  6. Step 6: Final answer
    x = 856.77

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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.