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Finding the Fourth Proportional to 1,537.56, 2,306.04 and 600.52

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Solution

The fourth proportional to 1,537.56, 2,306.04 and 600.52 is: 900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.56 : 2,306.04 = 600.52 : x
  2. Step 2: Convert to fraction form
    1,537.56/2,306.04 = 600.52/x
  3. Step 3: Cross multiply
    1,537.56x = 2,306.04 × 600.52
  4. Step 4: Simplify right side
    1,537.56x = 1,384,823.14
  5. Step 5: Solve for x
    x = 1,384,823.14/1,537.56
  6. Step 6: Final answer
    x = 900.66

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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.