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Finding the Fourth Proportional to 976.78, 1,462.20 and 564.76

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Solution

The fourth proportional to 976.78, 1,462.20 and 564.76 is: 845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.78 : 1,462.20 = 564.76 : x
  2. Step 2: Convert to fraction form
    976.78/1,462.20 = 564.76/x
  3. Step 3: Cross multiply
    976.78x = 1,462.20 × 564.76
  4. Step 4: Simplify right side
    976.78x = 825,792.07
  5. Step 5: Solve for x
    x = 825,792.07/976.78
  6. Step 6: Final answer
    x = 845.42

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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.