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Finding the Fourth Proportional to 688.06, 1,032.19 and 201.05

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Solution

The fourth proportional to 688.06, 1,032.19 and 201.05 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.06 : 1,032.19 = 201.05 : x
  2. Step 2: Convert to fraction form
    688.06/1,032.19 = 201.05/x
  3. Step 3: Cross multiply
    688.06x = 1,032.19 × 201.05
  4. Step 4: Simplify right side
    688.06x = 207,521.80
  5. Step 5: Solve for x
    x = 207,521.80/688.06
  6. Step 6: Final answer
    x = 301.60

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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.