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Finding the Fourth Proportional to 1,084.57, 1,625.18 and 506.77

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Solution

The fourth proportional to 1,084.57, 1,625.18 and 506.77 is: 759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.57 : 1,625.18 = 506.77 : x
  2. Step 2: Convert to fraction form
    1,084.57/1,625.18 = 506.77/x
  3. Step 3: Cross multiply
    1,084.57x = 1,625.18 × 506.77
  4. Step 4: Simplify right side
    1,084.57x = 823,589.93
  5. Step 5: Solve for x
    x = 823,589.93/1,084.57
  6. Step 6: Final answer
    x = 759.37

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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.