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Finding the Fourth Proportional to 1,335.11, 2,002.49 and 410.58

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Solution

The fourth proportional to 1,335.11, 2,002.49 and 410.58 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.11 : 2,002.49 = 410.58 : x
  2. Step 2: Convert to fraction form
    1,335.11/2,002.49 = 410.58/x
  3. Step 3: Cross multiply
    1,335.11x = 2,002.49 × 410.58
  4. Step 4: Simplify right side
    1,335.11x = 822,180.29
  5. Step 5: Solve for x
    x = 822,180.29/1,335.11
  6. Step 6: Final answer
    x = 615.82

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