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Finding the Fourth Proportional to 698.91, 964.25 and 489.42

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Solution

The fourth proportional to 698.91, 964.25 and 489.42 is: 675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.91 : 964.25 = 489.42 : x
  2. Step 2: Convert to fraction form
    698.91/964.25 = 489.42/x
  3. Step 3: Cross multiply
    698.91x = 964.25 × 489.42
  4. Step 4: Simplify right side
    698.91x = 471,920.79
  5. Step 5: Solve for x
    x = 471,920.79/698.91
  6. Step 6: Final answer
    x = 675.22

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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.