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Finding the Fourth Proportional to 1,083.38, 1,625.27 and 506.25

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Solution

The fourth proportional to 1,083.38, 1,625.27 and 506.25 is: 759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.38 : 1,625.27 = 506.25 : x
  2. Step 2: Convert to fraction form
    1,083.38/1,625.27 = 506.25/x
  3. Step 3: Cross multiply
    1,083.38x = 1,625.27 × 506.25
  4. Step 4: Simplify right side
    1,083.38x = 822,790.41
  5. Step 5: Solve for x
    x = 822,790.41/1,083.38
  6. Step 6: Final answer
    x = 759.47

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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.