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Finding the Fourth Proportional to 913.75, 1,367.92 and 695.25

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Solution

The fourth proportional to 913.75, 1,367.92 and 695.25 is: 1,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.75 : 1,367.92 = 695.25 : x
  2. Step 2: Convert to fraction form
    913.75/1,367.92 = 695.25/x
  3. Step 3: Cross multiply
    913.75x = 1,367.92 × 695.25
  4. Step 4: Simplify right side
    913.75x = 951,047.25
  5. Step 5: Solve for x
    x = 951,047.25/913.75
  6. Step 6: Final answer
    x = 1,040.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.