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Finding the Fourth Proportional to 681.78, 940.89 and 387.08

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Solution

The fourth proportional to 681.78, 940.89 and 387.08 is: 534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.78 : 940.89 = 387.08 : x
  2. Step 2: Convert to fraction form
    681.78/940.89 = 387.08/x
  3. Step 3: Cross multiply
    681.78x = 940.89 × 387.08
  4. Step 4: Simplify right side
    681.78x = 364,197.80
  5. Step 5: Solve for x
    x = 364,197.80/681.78
  6. Step 6: Final answer
    x = 534.18

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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.