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Finding the Fourth Proportional to 685.13, 943.41 and 574.41

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Solution

The fourth proportional to 685.13, 943.41 and 574.41 is: 790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.13 : 943.41 = 574.41 : x
  2. Step 2: Convert to fraction form
    685.13/943.41 = 574.41/x
  3. Step 3: Cross multiply
    685.13x = 943.41 × 574.41
  4. Step 4: Simplify right side
    685.13x = 541,905.06
  5. Step 5: Solve for x
    x = 541,905.06/685.13
  6. Step 6: Final answer
    x = 790.95

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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.