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Finding the Fourth Proportional to 1,167.39, 1,748.00 and 704.55

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Solution

The fourth proportional to 1,167.39, 1,748.00 and 704.55 is: 1,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.39 : 1,748.00 = 704.55 : x
  2. Step 2: Convert to fraction form
    1,167.39/1,748.00 = 704.55/x
  3. Step 3: Cross multiply
    1,167.39x = 1,748.00 × 704.55
  4. Step 4: Simplify right side
    1,167.39x = 1,231,549.88
  5. Step 5: Solve for x
    x = 1,231,549.88/1,167.39
  6. Step 6: Final answer
    x = 1,054.96

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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.