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Finding the Fourth Proportional to 1,524.39, 2,286.31 and 428.86

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Solution

The fourth proportional to 1,524.39, 2,286.31 and 428.86 is: 643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.39 : 2,286.31 = 428.86 : x
  2. Step 2: Convert to fraction form
    1,524.39/2,286.31 = 428.86/x
  3. Step 3: Cross multiply
    1,524.39x = 2,286.31 × 428.86
  4. Step 4: Simplify right side
    1,524.39x = 980,506.91
  5. Step 5: Solve for x
    x = 980,506.91/1,524.39
  6. Step 6: Final answer
    x = 643.21

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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.