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Finding the Fourth Proportional to 650.53, 974.26 and 564.56

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Solution

The fourth proportional to 650.53, 974.26 and 564.56 is: 845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 974.26 = 564.56 : x
  2. Step 2: Convert to fraction form
    650.53/974.26 = 564.56/x
  3. Step 3: Cross multiply
    650.53x = 974.26 × 564.56
  4. Step 4: Simplify right side
    650.53x = 550,029.25
  5. Step 5: Solve for x
    x = 550,029.25/650.53
  6. Step 6: Final answer
    x = 845.51

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1.5x scale

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.