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Finding the Fourth Proportional to 839.57, 1,257.98 and 608.11

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Solution

The fourth proportional to 839.57, 1,257.98 and 608.11 is: 911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.57 : 1,257.98 = 608.11 : x
  2. Step 2: Convert to fraction form
    839.57/1,257.98 = 608.11/x
  3. Step 3: Cross multiply
    839.57x = 1,257.98 × 608.11
  4. Step 4: Simplify right side
    839.57x = 764,987.45
  5. Step 5: Solve for x
    x = 764,987.45/839.57
  6. Step 6: Final answer
    x = 911.17

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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.