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Finding the Fourth Proportional to 799.69, 1,103.58 and 489.19

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Solution

The fourth proportional to 799.69, 1,103.58 and 489.19 is: 675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.69 : 1,103.58 = 489.19 : x
  2. Step 2: Convert to fraction form
    799.69/1,103.58 = 489.19/x
  3. Step 3: Cross multiply
    799.69x = 1,103.58 × 489.19
  4. Step 4: Simplify right side
    799.69x = 539,860.30
  5. Step 5: Solve for x
    x = 539,860.30/799.69
  6. Step 6: Final answer
    x = 675.09

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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.