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Finding the Fourth Proportional to 650.23, 898.26 and 562.75

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Solution

The fourth proportional to 650.23, 898.26 and 562.75 is: 777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.23 : 898.26 = 562.75 : x
  2. Step 2: Convert to fraction form
    650.23/898.26 = 562.75/x
  3. Step 3: Cross multiply
    650.23x = 898.26 × 562.75
  4. Step 4: Simplify right side
    650.23x = 505,491.32
  5. Step 5: Solve for x
    x = 505,491.32/650.23
  6. Step 6: Final answer
    x = 777.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.