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Finding the Fourth Proportional to 722.70, 996.78 and 501.72

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Solution

The fourth proportional to 722.70, 996.78 and 501.72 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.70 : 996.78 = 501.72 : x
  2. Step 2: Convert to fraction form
    722.70/996.78 = 501.72/x
  3. Step 3: Cross multiply
    722.70x = 996.78 × 501.72
  4. Step 4: Simplify right side
    722.70x = 500,104.46
  5. Step 5: Solve for x
    x = 500,104.46/722.70
  6. Step 6: Final answer
    x = 691.99

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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.