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Finding the Fourth Proportional to 1,258.49, 1,736.24 and 927.71

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Solution

The fourth proportional to 1,258.49, 1,736.24 and 927.71 is: 1,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.49 : 1,736.24 = 927.71 : x
  2. Step 2: Convert to fraction form
    1,258.49/1,736.24 = 927.71/x
  3. Step 3: Cross multiply
    1,258.49x = 1,736.24 × 927.71
  4. Step 4: Simplify right side
    1,258.49x = 1,610,713.89
  5. Step 5: Solve for x
    x = 1,610,713.89/1,258.49
  6. Step 6: Final answer
    x = 1,279.88

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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.