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Finding the Fourth Proportional to 1,335.80, 2,003.77 and 411.99

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Solution

The fourth proportional to 1,335.80, 2,003.77 and 411.99 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.80 : 2,003.77 = 411.99 : x
  2. Step 2: Convert to fraction form
    1,335.80/2,003.77 = 411.99/x
  3. Step 3: Cross multiply
    1,335.80x = 2,003.77 × 411.99
  4. Step 4: Simplify right side
    1,335.80x = 825,537.47
  5. Step 5: Solve for x
    x = 825,537.47/1,335.80
  6. Step 6: Final answer
    x = 618.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.