Home / 1,335.13-2,002.98-410.75

Finding the Fourth Proportional to 1,335.13, 2,002.98 and 410.75

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Solution

The fourth proportional to 1,335.13, 2,002.98 and 410.75 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.13 : 2,002.98 = 410.75 : x
  2. Step 2: Convert to fraction form
    1,335.13/2,002.98 = 410.75/x
  3. Step 3: Cross multiply
    1,335.13x = 2,002.98 × 410.75
  4. Step 4: Simplify right side
    1,335.13x = 822,724.04
  5. Step 5: Solve for x
    x = 822,724.04/1,335.13
  6. Step 6: Final answer
    x = 616.21

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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.