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Finding the Fourth Proportional to 1,523.15, 2,284.79 and 427.60

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Solution

The fourth proportional to 1,523.15, 2,284.79 and 427.60 is: 641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.15 : 2,284.79 = 427.60 : x
  2. Step 2: Convert to fraction form
    1,523.15/2,284.79 = 427.60/x
  3. Step 3: Cross multiply
    1,523.15x = 2,284.79 × 427.60
  4. Step 4: Simplify right side
    1,523.15x = 976,984.85
  5. Step 5: Solve for x
    x = 976,984.85/1,523.15
  6. Step 6: Final answer
    x = 641.42

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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.