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Finding the Fourth Proportional to 939.70, 1,410.42 and 477.80

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Solution

The fourth proportional to 939.70, 1,410.42 and 477.80 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.70 : 1,410.42 = 477.80 : x
  2. Step 2: Convert to fraction form
    939.70/1,410.42 = 477.80/x
  3. Step 3: Cross multiply
    939.70x = 1,410.42 × 477.80
  4. Step 4: Simplify right side
    939.70x = 673,898.68
  5. Step 5: Solve for x
    x = 673,898.68/939.70
  6. Step 6: Final answer
    x = 717.14

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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.