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Finding the Fourth Proportional to 1,083.80, 1,625.77 and 371.13

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Solution

The fourth proportional to 1,083.80, 1,625.77 and 371.13 is: 556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.80 : 1,625.77 = 371.13 : x
  2. Step 2: Convert to fraction form
    1,083.80/1,625.77 = 371.13/x
  3. Step 3: Cross multiply
    1,083.80x = 1,625.77 × 371.13
  4. Step 4: Simplify right side
    1,083.80x = 603,372.02
  5. Step 5: Solve for x
    x = 603,372.02/1,083.80
  6. Step 6: Final answer
    x = 556.72

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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.