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Finding the Fourth Proportional to 1,537.58, 2,306.91 and 563.78

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Solution

The fourth proportional to 1,537.58, 2,306.91 and 563.78 is: 845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.58 : 2,306.91 = 563.78 : x
  2. Step 2: Convert to fraction form
    1,537.58/2,306.91 = 563.78/x
  3. Step 3: Cross multiply
    1,537.58x = 2,306.91 × 563.78
  4. Step 4: Simplify right side
    1,537.58x = 1,300,589.72
  5. Step 5: Solve for x
    x = 1,300,589.72/1,537.58
  6. Step 6: Final answer
    x = 845.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.