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Finding the Fourth Proportional to 1,162.08, 1,741.23 and 814.59

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Solution

The fourth proportional to 1,162.08, 1,741.23 and 814.59 is: 1,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.08 : 1,741.23 = 814.59 : x
  2. Step 2: Convert to fraction form
    1,162.08/1,741.23 = 814.59/x
  3. Step 3: Cross multiply
    1,162.08x = 1,741.23 × 814.59
  4. Step 4: Simplify right side
    1,162.08x = 1,418,388.55
  5. Step 5: Solve for x
    x = 1,418,388.55/1,162.08
  6. Step 6: Final answer
    x = 1,220.56

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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.