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Finding the Fourth Proportional to 1,523.86, 2,286.04 and 484.11

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Solution

The fourth proportional to 1,523.86, 2,286.04 and 484.11 is: 726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.86 : 2,286.04 = 484.11 : x
  2. Step 2: Convert to fraction form
    1,523.86/2,286.04 = 484.11/x
  3. Step 3: Cross multiply
    1,523.86x = 2,286.04 × 484.11
  4. Step 4: Simplify right side
    1,523.86x = 1,106,694.82
  5. Step 5: Solve for x
    x = 1,106,694.82/1,523.86
  6. Step 6: Final answer
    x = 726.24

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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.