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Finding the Fourth Proportional to 1,372.85, 2,058.62 and 550.90

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Solution

The fourth proportional to 1,372.85, 2,058.62 and 550.90 is: 826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.85 : 2,058.62 = 550.90 : x
  2. Step 2: Convert to fraction form
    1,372.85/2,058.62 = 550.90/x
  3. Step 3: Cross multiply
    1,372.85x = 2,058.62 × 550.90
  4. Step 4: Simplify right side
    1,372.85x = 1,134,093.58
  5. Step 5: Solve for x
    x = 1,134,093.58/1,372.85
  6. Step 6: Final answer
    x = 826.09

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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.