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Finding the Fourth Proportional to 1,265.28, 1,744.92 and 823.02

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Solution

The fourth proportional to 1,265.28, 1,744.92 and 823.02 is: 1,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.28 : 1,744.92 = 823.02 : x
  2. Step 2: Convert to fraction form
    1,265.28/1,744.92 = 823.02/x
  3. Step 3: Cross multiply
    1,265.28x = 1,744.92 × 823.02
  4. Step 4: Simplify right side
    1,265.28x = 1,436,104.06
  5. Step 5: Solve for x
    x = 1,436,104.06/1,265.28
  6. Step 6: Final answer
    x = 1,135.01

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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.