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Finding the Fourth Proportional to 685.52, 1,021.78 and 645.59

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Solution

The fourth proportional to 685.52, 1,021.78 and 645.59 is: 962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.52 : 1,021.78 = 645.59 : x
  2. Step 2: Convert to fraction form
    685.52/1,021.78 = 645.59/x
  3. Step 3: Cross multiply
    685.52x = 1,021.78 × 645.59
  4. Step 4: Simplify right side
    685.52x = 659,645.84
  5. Step 5: Solve for x
    x = 659,645.84/685.52
  6. Step 6: Final answer
    x = 962.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.