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Finding the Fourth Proportional to 864, 1,192.31 and 491.05

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Solution

The fourth proportional to 864, 1,192.31 and 491.05 is: 677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,192.31 = 491.05 : x
  2. Step 2: Convert to fraction form
    864/1,192.31 = 491.05/x
  3. Step 3: Cross multiply
    864x = 1,192.31 × 491.05
  4. Step 4: Simplify right side
    864x = 585,483.83
  5. Step 5: Solve for x
    x = 585,483.83/864
  6. Step 6: Final answer
    x = 677.64

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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.