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Finding the Fourth Proportional to 650.84, 976.74 and 477.95

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Solution

The fourth proportional to 650.84, 976.74 and 477.95 is: 717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 976.74 = 477.95 : x
  2. Step 2: Convert to fraction form
    650.84/976.74 = 477.95/x
  3. Step 3: Cross multiply
    650.84x = 976.74 × 477.95
  4. Step 4: Simplify right side
    650.84x = 466,832.88
  5. Step 5: Solve for x
    x = 466,832.88/650.84
  6. Step 6: Final answer
    x = 717.28

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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.