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Finding the Fourth Proportional to 1,524, 2,286.09 and 599.49

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Solution

The fourth proportional to 1,524, 2,286.09 and 599.49 is: 899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524 : 2,286.09 = 599.49 : x
  2. Step 2: Convert to fraction form
    1,524/2,286.09 = 599.49/x
  3. Step 3: Cross multiply
    1,524x = 2,286.09 × 599.49
  4. Step 4: Simplify right side
    1,524x = 1,370,488.09
  5. Step 5: Solve for x
    x = 1,370,488.09/1,524
  6. Step 6: Final answer
    x = 899.27

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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.