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Finding the Fourth Proportional to 1,523.21, 2,284.47 and 427.55

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Solution

The fourth proportional to 1,523.21, 2,284.47 and 427.55 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.21 : 2,284.47 = 427.55 : x
  2. Step 2: Convert to fraction form
    1,523.21/2,284.47 = 427.55/x
  3. Step 3: Cross multiply
    1,523.21x = 2,284.47 × 427.55
  4. Step 4: Simplify right side
    1,523.21x = 976,713.73
  5. Step 5: Solve for x
    x = 976,713.73/1,523.21
  6. Step 6: Final answer
    x = 641.22

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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.