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Finding the Fourth Proportional to 797.85, 1,197.23 and 624.02

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Solution

The fourth proportional to 797.85, 1,197.23 and 624.02 is: 936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.85 : 1,197.23 = 624.02 : x
  2. Step 2: Convert to fraction form
    797.85/1,197.23 = 624.02/x
  3. Step 3: Cross multiply
    797.85x = 1,197.23 × 624.02
  4. Step 4: Simplify right side
    797.85x = 747,086.36
  5. Step 5: Solve for x
    x = 747,086.36/797.85
  6. Step 6: Final answer
    x = 936.37

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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.