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Finding the Fourth Proportional to 572.92, 789.84 and 489.68

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Solution

The fourth proportional to 572.92, 789.84 and 489.68 is: 675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.92 : 789.84 = 489.68 : x
  2. Step 2: Convert to fraction form
    572.92/789.84 = 489.68/x
  3. Step 3: Cross multiply
    572.92x = 789.84 × 489.68
  4. Step 4: Simplify right side
    572.92x = 386,768.85
  5. Step 5: Solve for x
    x = 386,768.85/572.92
  6. Step 6: Final answer
    x = 675.08

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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.