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Finding the Fourth Proportional to 939.70, 1,297.07 and 608.14

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Solution

The fourth proportional to 939.70, 1,297.07 and 608.14 is: 839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.70 : 1,297.07 = 608.14 : x
  2. Step 2: Convert to fraction form
    939.70/1,297.07 = 608.14/x
  3. Step 3: Cross multiply
    939.70x = 1,297.07 × 608.14
  4. Step 4: Simplify right side
    939.70x = 788,800.15
  5. Step 5: Solve for x
    x = 788,800.15/939.70
  6. Step 6: Final answer
    x = 839.42

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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.