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Finding the Fourth Proportional to 688.68, 1,032.99 and 201.75

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Solution

The fourth proportional to 688.68, 1,032.99 and 201.75 is: 302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.68 : 1,032.99 = 201.75 : x
  2. Step 2: Convert to fraction form
    688.68/1,032.99 = 201.75/x
  3. Step 3: Cross multiply
    688.68x = 1,032.99 × 201.75
  4. Step 4: Simplify right side
    688.68x = 208,405.73
  5. Step 5: Solve for x
    x = 208,405.73/688.68
  6. Step 6: Final answer
    x = 302.62

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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.