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Finding the Fourth Proportional to 1,335.59, 2,003.39 and 411.13

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Solution

The fourth proportional to 1,335.59, 2,003.39 and 411.13 is: 616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.59 : 2,003.39 = 411.13 : x
  2. Step 2: Convert to fraction form
    1,335.59/2,003.39 = 411.13/x
  3. Step 3: Cross multiply
    1,335.59x = 2,003.39 × 411.13
  4. Step 4: Simplify right side
    1,335.59x = 823,653.73
  5. Step 5: Solve for x
    x = 823,653.73/1,335.59
  6. Step 6: Final answer
    x = 616.70

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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.