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Finding the Fourth Proportional to 722.50, 997.86 and 489.22

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Solution

The fourth proportional to 722.50, 997.86 and 489.22 is: 675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 997.86 = 489.22 : x
  2. Step 2: Convert to fraction form
    722.50/997.86 = 489.22/x
  3. Step 3: Cross multiply
    722.50x = 997.86 × 489.22
  4. Step 4: Simplify right side
    722.50x = 488,173.07
  5. Step 5: Solve for x
    x = 488,173.07/722.50
  6. Step 6: Final answer
    x = 675.67

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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.