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Finding the Fourth Proportional to 1,537.25, 2,306.25 and 441.68

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Solution

The fourth proportional to 1,537.25, 2,306.25 and 441.68 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.25 : 2,306.25 = 441.68 : x
  2. Step 2: Convert to fraction form
    1,537.25/2,306.25 = 441.68/x
  3. Step 3: Cross multiply
    1,537.25x = 2,306.25 × 441.68
  4. Step 4: Simplify right side
    1,537.25x = 1,018,630.27
  5. Step 5: Solve for x
    x = 1,018,630.27/1,537.25
  6. Step 6: Final answer
    x = 662.63

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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.