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Finding the Fourth Proportional to 1,524.95, 2,286.74 and 484.76

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Solution

The fourth proportional to 1,524.95, 2,286.74 and 484.76 is: 726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.95 : 2,286.74 = 484.76 : x
  2. Step 2: Convert to fraction form
    1,524.95/2,286.74 = 484.76/x
  3. Step 3: Cross multiply
    1,524.95x = 2,286.74 × 484.76
  4. Step 4: Simplify right side
    1,524.95x = 1,108,520.08
  5. Step 5: Solve for x
    x = 1,108,520.08/1,524.95
  6. Step 6: Final answer
    x = 726.92

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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.