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Finding the Fourth Proportional to 685.42, 1,032.86 and 620.44

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Solution

The fourth proportional to 685.42, 1,032.86 and 620.44 is: 934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 1,032.86 = 620.44 : x
  2. Step 2: Convert to fraction form
    685.42/1,032.86 = 620.44/x
  3. Step 3: Cross multiply
    685.42x = 1,032.86 × 620.44
  4. Step 4: Simplify right side
    685.42x = 640,827.66
  5. Step 5: Solve for x
    x = 640,827.66/685.42
  6. Step 6: Final answer
    x = 934.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.