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Finding the Fourth Proportional to 1,178.28, 1,766.34 and 601.56

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Solution

The fourth proportional to 1,178.28, 1,766.34 and 601.56 is: 901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.28 : 1,766.34 = 601.56 : x
  2. Step 2: Convert to fraction form
    1,178.28/1,766.34 = 601.56/x
  3. Step 3: Cross multiply
    1,178.28x = 1,766.34 × 601.56
  4. Step 4: Simplify right side
    1,178.28x = 1,062,559.49
  5. Step 5: Solve for x
    x = 1,062,559.49/1,178.28
  6. Step 6: Final answer
    x = 901.79

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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.