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Finding the Fourth Proportional to 681.93, 940.79 and 475.05

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Solution

The fourth proportional to 681.93, 940.79 and 475.05 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.93 : 940.79 = 475.05 : x
  2. Step 2: Convert to fraction form
    681.93/940.79 = 475.05/x
  3. Step 3: Cross multiply
    681.93x = 940.79 × 475.05
  4. Step 4: Simplify right side
    681.93x = 446,919.91
  5. Step 5: Solve for x
    x = 446,919.91/681.93
  6. Step 6: Final answer
    x = 655.38

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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.