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Finding the Fourth Proportional to 842.11, 1,260.45 and 451.13

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Solution

The fourth proportional to 842.11, 1,260.45 and 451.13 is: 675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.11 : 1,260.45 = 451.13 : x
  2. Step 2: Convert to fraction form
    842.11/1,260.45 = 451.13/x
  3. Step 3: Cross multiply
    842.11x = 1,260.45 × 451.13
  4. Step 4: Simplify right side
    842.11x = 568,620.51
  5. Step 5: Solve for x
    x = 568,620.51/842.11
  6. Step 6: Final answer
    x = 675.24

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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.