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Finding the Fourth Proportional to 1,184.03, 1,633.61 and 741.92

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Solution

The fourth proportional to 1,184.03, 1,633.61 and 741.92 is: 1,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.03 : 1,633.61 = 741.92 : x
  2. Step 2: Convert to fraction form
    1,184.03/1,633.61 = 741.92/x
  3. Step 3: Cross multiply
    1,184.03x = 1,633.61 × 741.92
  4. Step 4: Simplify right side
    1,184.03x = 1,211,996.05
  5. Step 5: Solve for x
    x = 1,211,996.05/1,184.03
  6. Step 6: Final answer
    x = 1,023.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.