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Finding the Fourth Proportional to 650.78, 974.63 and 564.81

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Solution

The fourth proportional to 650.78, 974.63 and 564.81 is: 845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.78 : 974.63 = 564.81 : x
  2. Step 2: Convert to fraction form
    650.78/974.63 = 564.81/x
  3. Step 3: Cross multiply
    650.78x = 974.63 × 564.81
  4. Step 4: Simplify right side
    650.78x = 550,484.62
  5. Step 5: Solve for x
    x = 550,484.62/650.78
  6. Step 6: Final answer
    x = 845.89

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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.