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Finding the Fourth Proportional to 939.57, 1,409.75 and 506.22

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Solution

The fourth proportional to 939.57, 1,409.75 and 506.22 is: 759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.57 : 1,409.75 = 506.22 : x
  2. Step 2: Convert to fraction form
    939.57/1,409.75 = 506.22/x
  3. Step 3: Cross multiply
    939.57x = 1,409.75 × 506.22
  4. Step 4: Simplify right side
    939.57x = 713,643.65
  5. Step 5: Solve for x
    x = 713,643.65/939.57
  6. Step 6: Final answer
    x = 759.54

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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.