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Finding the Fourth Proportional to 650.44, 898.14 and 520.36

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Solution

The fourth proportional to 650.44, 898.14 and 520.36 is: 718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.44 : 898.14 = 520.36 : x
  2. Step 2: Convert to fraction form
    650.44/898.14 = 520.36/x
  3. Step 3: Cross multiply
    650.44x = 898.14 × 520.36
  4. Step 4: Simplify right side
    650.44x = 467,356.13
  5. Step 5: Solve for x
    x = 467,356.13/650.44
  6. Step 6: Final answer
    x = 718.52

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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.