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Finding the Fourth Proportional to 1,335.91, 2,003.74 and 412.11

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Solution

The fourth proportional to 1,335.91, 2,003.74 and 412.11 is: 618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.91 : 2,003.74 = 412.11 : x
  2. Step 2: Convert to fraction form
    1,335.91/2,003.74 = 412.11/x
  3. Step 3: Cross multiply
    1,335.91x = 2,003.74 × 412.11
  4. Step 4: Simplify right side
    1,335.91x = 825,761.29
  5. Step 5: Solve for x
    x = 825,761.29/1,335.91
  6. Step 6: Final answer
    x = 618.13

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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.