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Finding the Fourth Proportional to 1,119.20, 1,679.27 and 599.06

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Solution

The fourth proportional to 1,119.20, 1,679.27 and 599.06 is: 898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.20 : 1,679.27 = 599.06 : x
  2. Step 2: Convert to fraction form
    1,119.20/1,679.27 = 599.06/x
  3. Step 3: Cross multiply
    1,119.20x = 1,679.27 × 599.06
  4. Step 4: Simplify right side
    1,119.20x = 1,005,989.74
  5. Step 5: Solve for x
    x = 1,005,989.74/1,119.20
  6. Step 6: Final answer
    x = 898.85

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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.