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Finding the Fourth Proportional to 739.84, 1,109.81 and 192.04

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Solution

The fourth proportional to 739.84, 1,109.81 and 192.04 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.84 : 1,109.81 = 192.04 : x
  2. Step 2: Convert to fraction form
    739.84/1,109.81 = 192.04/x
  3. Step 3: Cross multiply
    739.84x = 1,109.81 × 192.04
  4. Step 4: Simplify right side
    739.84x = 213,127.91
  5. Step 5: Solve for x
    x = 213,127.91/739.84
  6. Step 6: Final answer
    x = 288.07

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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.