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Finding the Fourth Proportional to 1,254.41, 1,731 and 694.84

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Solution

The fourth proportional to 1,254.41, 1,731 and 694.84 is: 958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.41 : 1,731 = 694.84 : x
  2. Step 2: Convert to fraction form
    1,254.41/1,731 = 694.84/x
  3. Step 3: Cross multiply
    1,254.41x = 1,731 × 694.84
  4. Step 4: Simplify right side
    1,254.41x = 1,202,768.04
  5. Step 5: Solve for x
    x = 1,202,768.04/1,254.41
  6. Step 6: Final answer
    x = 958.83

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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.