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Finding the Fourth Proportional to 798.85, 1,196.22 and 489.77

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Solution

The fourth proportional to 798.85, 1,196.22 and 489.77 is: 733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.85 : 1,196.22 = 489.77 : x
  2. Step 2: Convert to fraction form
    798.85/1,196.22 = 489.77/x
  3. Step 3: Cross multiply
    798.85x = 1,196.22 × 489.77
  4. Step 4: Simplify right side
    798.85x = 585,872.67
  5. Step 5: Solve for x
    x = 585,872.67/798.85
  6. Step 6: Final answer
    x = 733.40

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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.