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Finding the Fourth Proportional to 1,524.65, 2,286.09 and 599.12

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Solution

The fourth proportional to 1,524.65, 2,286.09 and 599.12 is: 898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.65 : 2,286.09 = 599.12 : x
  2. Step 2: Convert to fraction form
    1,524.65/2,286.09 = 599.12/x
  3. Step 3: Cross multiply
    1,524.65x = 2,286.09 × 599.12
  4. Step 4: Simplify right side
    1,524.65x = 1,369,630.81
  5. Step 5: Solve for x
    x = 1,369,630.81/1,524.65
  6. Step 6: Final answer
    x = 898.33

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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.