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Finding the Fourth Proportional to 1,335.38, 2,002.97 and 410.84

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Solution

The fourth proportional to 1,335.38, 2,002.97 and 410.84 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.38 : 2,002.97 = 410.84 : x
  2. Step 2: Convert to fraction form
    1,335.38/2,002.97 = 410.84/x
  3. Step 3: Cross multiply
    1,335.38x = 2,002.97 × 410.84
  4. Step 4: Simplify right side
    1,335.38x = 822,888.13
  5. Step 5: Solve for x
    x = 822,888.13/1,335.38
  6. Step 6: Final answer
    x = 616.22

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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.