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Finding the Fourth Proportional to 1,537.85, 2,306.81 and 550.73

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Solution

The fourth proportional to 1,537.85, 2,306.81 and 550.73 is: 826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.85 : 2,306.81 = 550.73 : x
  2. Step 2: Convert to fraction form
    1,537.85/2,306.81 = 550.73/x
  3. Step 3: Cross multiply
    1,537.85x = 2,306.81 × 550.73
  4. Step 4: Simplify right side
    1,537.85x = 1,270,432.93
  5. Step 5: Solve for x
    x = 1,270,432.93/1,537.85
  6. Step 6: Final answer
    x = 826.11

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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.