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Finding the Fourth Proportional to 607.97, 911.41 and 589.61

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Solution

The fourth proportional to 607.97, 911.41 and 589.61 is: 883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.97 : 911.41 = 589.61 : x
  2. Step 2: Convert to fraction form
    607.97/911.41 = 589.61/x
  3. Step 3: Cross multiply
    607.97x = 911.41 × 589.61
  4. Step 4: Simplify right side
    607.97x = 537,376.45
  5. Step 5: Solve for x
    x = 537,376.45/607.97
  6. Step 6: Final answer
    x = 883.89

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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.