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Finding the Fourth Proportional to 1,166.80, 1,748.45 and 704.07

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Solution

The fourth proportional to 1,166.80, 1,748.45 and 704.07 is: 1,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.80 : 1,748.45 = 704.07 : x
  2. Step 2: Convert to fraction form
    1,166.80/1,748.45 = 704.07/x
  3. Step 3: Cross multiply
    1,166.80x = 1,748.45 × 704.07
  4. Step 4: Simplify right side
    1,166.80x = 1,231,023.30
  5. Step 5: Solve for x
    x = 1,231,023.30/1,166.80
  6. Step 6: Final answer
    x = 1,055.04

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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.