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Finding the Fourth Proportional to 1,167.76, 1,754.12 and 735.20

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Solution

The fourth proportional to 1,167.76, 1,754.12 and 735.20 is: 1,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.76 : 1,754.12 = 735.20 : x
  2. Step 2: Convert to fraction form
    1,167.76/1,754.12 = 735.20/x
  3. Step 3: Cross multiply
    1,167.76x = 1,754.12 × 735.20
  4. Step 4: Simplify right side
    1,167.76x = 1,289,629.02
  5. Step 5: Solve for x
    x = 1,289,629.02/1,167.76
  6. Step 6: Final answer
    x = 1,104.36

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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.