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Finding the Fourth Proportional to 944.76, 1,305.48 and 787.20

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Solution

The fourth proportional to 944.76, 1,305.48 and 787.20 is: 1,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.76 : 1,305.48 = 787.20 : x
  2. Step 2: Convert to fraction form
    944.76/1,305.48 = 787.20/x
  3. Step 3: Cross multiply
    944.76x = 1,305.48 × 787.20
  4. Step 4: Simplify right side
    944.76x = 1,027,673.86
  5. Step 5: Solve for x
    x = 1,027,673.86/944.76
  6. Step 6: Final answer
    x = 1,087.76

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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.