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Finding the Fourth Proportional to 864.33, 1,192.73 and 491.30

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Solution

The fourth proportional to 864.33, 1,192.73 and 491.30 is: 677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.33 : 1,192.73 = 491.30 : x
  2. Step 2: Convert to fraction form
    864.33/1,192.73 = 491.30/x
  3. Step 3: Cross multiply
    864.33x = 1,192.73 × 491.30
  4. Step 4: Simplify right side
    864.33x = 585,988.25
  5. Step 5: Solve for x
    x = 585,988.25/864.33
  6. Step 6: Final answer
    x = 677.97

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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.