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Finding the Fourth Proportional to 1,335.43, 2,002.83 and 410.77

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Solution

The fourth proportional to 1,335.43, 2,002.83 and 410.77 is: 616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.43 : 2,002.83 = 410.77 : x
  2. Step 2: Convert to fraction form
    1,335.43/2,002.83 = 410.77/x
  3. Step 3: Cross multiply
    1,335.43x = 2,002.83 × 410.77
  4. Step 4: Simplify right side
    1,335.43x = 822,702.48
  5. Step 5: Solve for x
    x = 822,702.48/1,335.43
  6. Step 6: Final answer
    x = 616.06

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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.