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Finding the Fourth Proportional to 1,167.40, 1,749.90 and 680.20

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Solution

The fourth proportional to 1,167.40, 1,749.90 and 680.20 is: 1,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.40 : 1,749.90 = 680.20 : x
  2. Step 2: Convert to fraction form
    1,167.40/1,749.90 = 680.20/x
  3. Step 3: Cross multiply
    1,167.40x = 1,749.90 × 680.20
  4. Step 4: Simplify right side
    1,167.40x = 1,190,281.98
  5. Step 5: Solve for x
    x = 1,190,281.98/1,167.40
  6. Step 6: Final answer
    x = 1,019.60

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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.