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Finding the Fourth Proportional to 681.45, 940.61 and 460.73

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Solution

The fourth proportional to 681.45, 940.61 and 460.73 is: 635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.45 : 940.61 = 460.73 : x
  2. Step 2: Convert to fraction form
    681.45/940.61 = 460.73/x
  3. Step 3: Cross multiply
    681.45x = 940.61 × 460.73
  4. Step 4: Simplify right side
    681.45x = 433,360.24
  5. Step 5: Solve for x
    x = 433,360.24/681.45
  6. Step 6: Final answer
    x = 635.94

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1.5x scale

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.