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Finding the Fourth Proportional to 939.23, 1,295.73 and 566.01

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Solution

The fourth proportional to 939.23, 1,295.73 and 566.01 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.23 : 1,295.73 = 566.01 : x
  2. Step 2: Convert to fraction form
    939.23/1,295.73 = 566.01/x
  3. Step 3: Cross multiply
    939.23x = 1,295.73 × 566.01
  4. Step 4: Simplify right side
    939.23x = 733,396.14
  5. Step 5: Solve for x
    x = 733,396.14/939.23
  6. Step 6: Final answer
    x = 780.85

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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.