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Finding the Fourth Proportional to 685.10, 945.96 and 606.52

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Solution

The fourth proportional to 685.10, 945.96 and 606.52 is: 837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.10 : 945.96 = 606.52 : x
  2. Step 2: Convert to fraction form
    685.10/945.96 = 606.52/x
  3. Step 3: Cross multiply
    685.10x = 945.96 × 606.52
  4. Step 4: Simplify right side
    685.10x = 573,743.66
  5. Step 5: Solve for x
    x = 573,743.66/685.10
  6. Step 6: Final answer
    x = 837.46

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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.