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Finding the Fourth Proportional to 1,167.92, 1,749.53 and 704.30

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Solution

The fourth proportional to 1,167.92, 1,749.53 and 704.30 is: 1,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.92 : 1,749.53 = 704.30 : x
  2. Step 2: Convert to fraction form
    1,167.92/1,749.53 = 704.30/x
  3. Step 3: Cross multiply
    1,167.92x = 1,749.53 × 704.30
  4. Step 4: Simplify right side
    1,167.92x = 1,232,186.99
  5. Step 5: Solve for x
    x = 1,232,186.99/1,167.92
  6. Step 6: Final answer
    x = 1,055.03

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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.