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Finding the Fourth Proportional to 976.11, 1,463.64 and 427.66

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Solution

The fourth proportional to 976.11, 1,463.64 and 427.66 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.11 : 1,463.64 = 427.66 : x
  2. Step 2: Convert to fraction form
    976.11/1,463.64 = 427.66/x
  3. Step 3: Cross multiply
    976.11x = 1,463.64 × 427.66
  4. Step 4: Simplify right side
    976.11x = 625,932.96
  5. Step 5: Solve for x
    x = 625,932.96/976.11
  6. Step 6: Final answer
    x = 641.25

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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.