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Finding the Fourth Proportional to 650.70, 976.65 and 514.14

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Solution

The fourth proportional to 650.70, 976.65 and 514.14 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.70 : 976.65 = 514.14 : x
  2. Step 2: Convert to fraction form
    650.70/976.65 = 514.14/x
  3. Step 3: Cross multiply
    650.70x = 976.65 × 514.14
  4. Step 4: Simplify right side
    650.70x = 502,134.83
  5. Step 5: Solve for x
    x = 502,134.83/650.70
  6. Step 6: Final answer
    x = 771.68

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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.