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Finding the Fourth Proportional to 939.62, 1,409.01 and 506.27

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Solution

The fourth proportional to 939.62, 1,409.01 and 506.27 is: 759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.62 : 1,409.01 = 506.27 : x
  2. Step 2: Convert to fraction form
    939.62/1,409.01 = 506.27/x
  3. Step 3: Cross multiply
    939.62x = 1,409.01 × 506.27
  4. Step 4: Simplify right side
    939.62x = 713,332.45
  5. Step 5: Solve for x
    x = 713,332.45/939.62
  6. Step 6: Final answer
    x = 759.18

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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.