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Finding the Fourth Proportional to 1,107.18, 1,662.84 and 1,010.52

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Solution

The fourth proportional to 1,107.18, 1,662.84 and 1,010.52 is: 1,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.18 : 1,662.84 = 1,010.52 : x
  2. Step 2: Convert to fraction form
    1,107.18/1,662.84 = 1,010.52/x
  3. Step 3: Cross multiply
    1,107.18x = 1,662.84 × 1,010.52
  4. Step 4: Simplify right side
    1,107.18x = 1,680,333.08
  5. Step 5: Solve for x
    x = 1,680,333.08/1,107.18
  6. Step 6: Final answer
    x = 1,517.67

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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.