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Finding the Fourth Proportional to 1,523.81, 2,286 and 483.77

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Solution

The fourth proportional to 1,523.81, 2,286 and 483.77 is: 725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.81 : 2,286 = 483.77 : x
  2. Step 2: Convert to fraction form
    1,523.81/2,286 = 483.77/x
  3. Step 3: Cross multiply
    1,523.81x = 2,286 × 483.77
  4. Step 4: Simplify right side
    1,523.81x = 1,105,898.22
  5. Step 5: Solve for x
    x = 1,105,898.22/1,523.81
  6. Step 6: Final answer
    x = 725.75

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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.