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Finding the Fourth Proportional to 688.52, 1,032.74 and 194.92

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Solution

The fourth proportional to 688.52, 1,032.74 and 194.92 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.52 : 1,032.74 = 194.92 : x
  2. Step 2: Convert to fraction form
    688.52/1,032.74 = 194.92/x
  3. Step 3: Cross multiply
    688.52x = 1,032.74 × 194.92
  4. Step 4: Simplify right side
    688.52x = 201,301.68
  5. Step 5: Solve for x
    x = 201,301.68/688.52
  6. Step 6: Final answer
    x = 292.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.