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Finding the Fourth Proportional to 1,524.82, 2,286.90 and 600.08

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Solution

The fourth proportional to 1,524.82, 2,286.90 and 600.08 is: 899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.82 : 2,286.90 = 600.08 : x
  2. Step 2: Convert to fraction form
    1,524.82/2,286.90 = 600.08/x
  3. Step 3: Cross multiply
    1,524.82x = 2,286.90 × 600.08
  4. Step 4: Simplify right side
    1,524.82x = 1,372,322.95
  5. Step 5: Solve for x
    x = 1,372,322.95/1,524.82
  6. Step 6: Final answer
    x = 899.99

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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.