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Finding the Fourth Proportional to 685.26, 943.11 and 544.91

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Solution

The fourth proportional to 685.26, 943.11 and 544.91 is: 749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 943.11 = 544.91 : x
  2. Step 2: Convert to fraction form
    685.26/943.11 = 544.91/x
  3. Step 3: Cross multiply
    685.26x = 943.11 × 544.91
  4. Step 4: Simplify right side
    685.26x = 513,905.35
  5. Step 5: Solve for x
    x = 513,905.35/685.26
  6. Step 6: Final answer
    x = 749.94

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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.