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Finding the Fourth Proportional to 1,335.83, 2,003.01 and 411.13

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Solution

The fourth proportional to 1,335.83, 2,003.01 and 411.13 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.83 : 2,003.01 = 411.13 : x
  2. Step 2: Convert to fraction form
    1,335.83/2,003.01 = 411.13/x
  3. Step 3: Cross multiply
    1,335.83x = 2,003.01 × 411.13
  4. Step 4: Simplify right side
    1,335.83x = 823,500.01
  5. Step 5: Solve for x
    x = 823,500.01/1,335.83
  6. Step 6: Final answer
    x = 616.47

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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.