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Finding the Fourth Proportional to 722.89, 997.68 and 604.67

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Solution

The fourth proportional to 722.89, 997.68 and 604.67 is: 834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.89 : 997.68 = 604.67 : x
  2. Step 2: Convert to fraction form
    722.89/997.68 = 604.67/x
  3. Step 3: Cross multiply
    722.89x = 997.68 × 604.67
  4. Step 4: Simplify right side
    722.89x = 603,264.44
  5. Step 5: Solve for x
    x = 603,264.44/722.89
  6. Step 6: Final answer
    x = 834.52

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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.