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Finding the Fourth Proportional to 722.85, 997.83 and 487.02

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Solution

The fourth proportional to 722.85, 997.83 and 487.02 is: 672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.85 : 997.83 = 487.02 : x
  2. Step 2: Convert to fraction form
    722.85/997.83 = 487.02/x
  3. Step 3: Cross multiply
    722.85x = 997.83 × 487.02
  4. Step 4: Simplify right side
    722.85x = 485,963.17
  5. Step 5: Solve for x
    x = 485,963.17/722.85
  6. Step 6: Final answer
    x = 672.29

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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.