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Finding the Fourth Proportional to 1,252.80, 1,727.91 and 958.74

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Solution

The fourth proportional to 1,252.80, 1,727.91 and 958.74 is: 1,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.80 : 1,727.91 = 958.74 : x
  2. Step 2: Convert to fraction form
    1,252.80/1,727.91 = 958.74/x
  3. Step 3: Cross multiply
    1,252.80x = 1,727.91 × 958.74
  4. Step 4: Simplify right side
    1,252.80x = 1,656,616.43
  5. Step 5: Solve for x
    x = 1,656,616.43/1,252.80
  6. Step 6: Final answer
    x = 1,322.33

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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.