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Finding the Fourth Proportional to 688.14, 1,032.21 and 175.14

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Solution

The fourth proportional to 688.14, 1,032.21 and 175.14 is: 262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 1,032.21 = 175.14 : x
  2. Step 2: Convert to fraction form
    688.14/1,032.21 = 175.14/x
  3. Step 3: Cross multiply
    688.14x = 1,032.21 × 175.14
  4. Step 4: Simplify right side
    688.14x = 180,781.26
  5. Step 5: Solve for x
    x = 180,781.26/688.14
  6. Step 6: Final answer
    x = 262.71

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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.