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Finding the Fourth Proportional to 1,158.88, 1,589.73 and 1,096.11

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Solution

The fourth proportional to 1,158.88, 1,589.73 and 1,096.11 is: 1,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.88 : 1,589.73 = 1,096.11 : x
  2. Step 2: Convert to fraction form
    1,158.88/1,589.73 = 1,096.11/x
  3. Step 3: Cross multiply
    1,158.88x = 1,589.73 × 1,096.11
  4. Step 4: Simplify right side
    1,158.88x = 1,742,518.95
  5. Step 5: Solve for x
    x = 1,742,518.95/1,158.88
  6. Step 6: Final answer
    x = 1,503.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.