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Finding the Fourth Proportional to 944.75, 1,304.15 and 779.51

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Solution

The fourth proportional to 944.75, 1,304.15 and 779.51 is: 1,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.75 : 1,304.15 = 779.51 : x
  2. Step 2: Convert to fraction form
    944.75/1,304.15 = 779.51/x
  3. Step 3: Cross multiply
    944.75x = 1,304.15 × 779.51
  4. Step 4: Simplify right side
    944.75x = 1,016,587.55
  5. Step 5: Solve for x
    x = 1,016,587.55/944.75
  6. Step 6: Final answer
    x = 1,076.04

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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.