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Finding the Fourth Proportional to 1,246.27, 1,719.60 and 780.25

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Solution

The fourth proportional to 1,246.27, 1,719.60 and 780.25 is: 1,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.27 : 1,719.60 = 780.25 : x
  2. Step 2: Convert to fraction form
    1,246.27/1,719.60 = 780.25/x
  3. Step 3: Cross multiply
    1,246.27x = 1,719.60 × 780.25
  4. Step 4: Simplify right side
    1,246.27x = 1,341,717.90
  5. Step 5: Solve for x
    x = 1,341,717.90/1,246.27
  6. Step 6: Final answer
    x = 1,076.59

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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.