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Finding the Fourth Proportional to 1,523.38, 2,284.89 and 427.84

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Solution

The fourth proportional to 1,523.38, 2,284.89 and 427.84 is: 641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.38 : 2,284.89 = 427.84 : x
  2. Step 2: Convert to fraction form
    1,523.38/2,284.89 = 427.84/x
  3. Step 3: Cross multiply
    1,523.38x = 2,284.89 × 427.84
  4. Step 4: Simplify right side
    1,523.38x = 977,562.43
  5. Step 5: Solve for x
    x = 977,562.43/1,523.38
  6. Step 6: Final answer
    x = 641.71

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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.