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Finding the Fourth Proportional to 685.95, 945.22 and 606.66

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Solution

The fourth proportional to 685.95, 945.22 and 606.66 is: 835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.95 : 945.22 = 606.66 : x
  2. Step 2: Convert to fraction form
    685.95/945.22 = 606.66/x
  3. Step 3: Cross multiply
    685.95x = 945.22 × 606.66
  4. Step 4: Simplify right side
    685.95x = 573,427.17
  5. Step 5: Solve for x
    x = 573,427.17/685.95
  6. Step 6: Final answer
    x = 835.96

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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.