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Finding the Fourth Proportional to 650.32, 898.36 and 519.16

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Solution

The fourth proportional to 650.32, 898.36 and 519.16 is: 717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 898.36 = 519.16 : x
  2. Step 2: Convert to fraction form
    650.32/898.36 = 519.16/x
  3. Step 3: Cross multiply
    650.32x = 898.36 × 519.16
  4. Step 4: Simplify right side
    650.32x = 466,392.58
  5. Step 5: Solve for x
    x = 466,392.58/650.32
  6. Step 6: Final answer
    x = 717.17

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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.