Home / 1,524.18-2,284.82-599.43

Finding the Fourth Proportional to 1,524.18, 2,284.82 and 599.43

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Solution

The fourth proportional to 1,524.18, 2,284.82 and 599.43 is: 898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.18 : 2,284.82 = 599.43 : x
  2. Step 2: Convert to fraction form
    1,524.18/2,284.82 = 599.43/x
  3. Step 3: Cross multiply
    1,524.18x = 2,284.82 × 599.43
  4. Step 4: Simplify right side
    1,524.18x = 1,369,589.65
  5. Step 5: Solve for x
    x = 1,369,589.65/1,524.18
  6. Step 6: Final answer
    x = 898.57

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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.