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Finding the Fourth Proportional to 707.82, 1,061.73 and 194.82

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Solution

The fourth proportional to 707.82, 1,061.73 and 194.82 is: 292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.82 : 1,061.73 = 194.82 : x
  2. Step 2: Convert to fraction form
    707.82/1,061.73 = 194.82/x
  3. Step 3: Cross multiply
    707.82x = 1,061.73 × 194.82
  4. Step 4: Simplify right side
    707.82x = 206,846.24
  5. Step 5: Solve for x
    x = 206,846.24/707.82
  6. Step 6: Final answer
    x = 292.23

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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.