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Finding the Fourth Proportional to 1,523.98, 2,286.09 and 484.05

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Solution

The fourth proportional to 1,523.98, 2,286.09 and 484.05 is: 726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.98 : 2,286.09 = 484.05 : x
  2. Step 2: Convert to fraction form
    1,523.98/2,286.09 = 484.05/x
  3. Step 3: Cross multiply
    1,523.98x = 2,286.09 × 484.05
  4. Step 4: Simplify right side
    1,523.98x = 1,106,581.86
  5. Step 5: Solve for x
    x = 1,106,581.86/1,523.98
  6. Step 6: Final answer
    x = 726.11

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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.