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Finding the Fourth Proportional to 650.28, 898.07 and 561.59

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Solution

The fourth proportional to 650.28, 898.07 and 561.59 is: 775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 898.07 = 561.59 : x
  2. Step 2: Convert to fraction form
    650.28/898.07 = 561.59/x
  3. Step 3: Cross multiply
    650.28x = 898.07 × 561.59
  4. Step 4: Simplify right side
    650.28x = 504,339.83
  5. Step 5: Solve for x
    x = 504,339.83/650.28
  6. Step 6: Final answer
    x = 775.57

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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.