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Finding the Fourth Proportional to 650.48, 976.47 and 513.98

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Solution

The fourth proportional to 650.48, 976.47 and 513.98 is: 771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.48 : 976.47 = 513.98 : x
  2. Step 2: Convert to fraction form
    650.48/976.47 = 513.98/x
  3. Step 3: Cross multiply
    650.48x = 976.47 × 513.98
  4. Step 4: Simplify right side
    650.48x = 501,886.05
  5. Step 5: Solve for x
    x = 501,886.05/650.48
  6. Step 6: Final answer
    x = 771.56

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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.