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Finding the Fourth Proportional to 1,537.72, 2,306.88 and 563.83

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Solution

The fourth proportional to 1,537.72, 2,306.88 and 563.83 is: 845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.72 : 2,306.88 = 563.83 : x
  2. Step 2: Convert to fraction form
    1,537.72/2,306.88 = 563.83/x
  3. Step 3: Cross multiply
    1,537.72x = 2,306.88 × 563.83
  4. Step 4: Simplify right side
    1,537.72x = 1,300,682.38
  5. Step 5: Solve for x
    x = 1,300,682.38/1,537.72
  6. Step 6: Final answer
    x = 845.85

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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.