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Finding the Fourth Proportional to 1,245.60, 1,719.24 and 825.75

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Solution

The fourth proportional to 1,245.60, 1,719.24 and 825.75 is: 1,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.60 : 1,719.24 = 825.75 : x
  2. Step 2: Convert to fraction form
    1,245.60/1,719.24 = 825.75/x
  3. Step 3: Cross multiply
    1,245.60x = 1,719.24 × 825.75
  4. Step 4: Simplify right side
    1,245.60x = 1,419,662.43
  5. Step 5: Solve for x
    x = 1,419,662.43/1,245.60
  6. Step 6: Final answer
    x = 1,139.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.