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Finding the Fourth Proportional to 626.92, 936.72 and 509.88

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Solution

The fourth proportional to 626.92, 936.72 and 509.88 is: 761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.92 : 936.72 = 509.88 : x
  2. Step 2: Convert to fraction form
    626.92/936.72 = 509.88/x
  3. Step 3: Cross multiply
    626.92x = 936.72 × 509.88
  4. Step 4: Simplify right side
    626.92x = 477,614.79
  5. Step 5: Solve for x
    x = 477,614.79/626.92
  6. Step 6: Final answer
    x = 761.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.