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Finding the Fourth Proportional to 1,335.12, 2,002.62 and 410.66

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Solution

The fourth proportional to 1,335.12, 2,002.62 and 410.66 is: 615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.12 : 2,002.62 = 410.66 : x
  2. Step 2: Convert to fraction form
    1,335.12/2,002.62 = 410.66/x
  3. Step 3: Cross multiply
    1,335.12x = 2,002.62 × 410.66
  4. Step 4: Simplify right side
    1,335.12x = 822,395.93
  5. Step 5: Solve for x
    x = 822,395.93/1,335.12
  6. Step 6: Final answer
    x = 615.97

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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.