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Finding the Fourth Proportional to 939.90, 1,297.07 and 520.24

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Solution

The fourth proportional to 939.90, 1,297.07 and 520.24 is: 717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.90 : 1,297.07 = 520.24 : x
  2. Step 2: Convert to fraction form
    939.90/1,297.07 = 520.24/x
  3. Step 3: Cross multiply
    939.90x = 1,297.07 × 520.24
  4. Step 4: Simplify right side
    939.90x = 674,787.70
  5. Step 5: Solve for x
    x = 674,787.70/939.90
  6. Step 6: Final answer
    x = 717.94

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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.