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Finding the Fourth Proportional to 688.19, 1,032.03 and 225.68

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Solution

The fourth proportional to 688.19, 1,032.03 and 225.68 is: 338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.19 : 1,032.03 = 225.68 : x
  2. Step 2: Convert to fraction form
    688.19/1,032.03 = 225.68/x
  3. Step 3: Cross multiply
    688.19x = 1,032.03 × 225.68
  4. Step 4: Simplify right side
    688.19x = 232,903.37
  5. Step 5: Solve for x
    x = 232,903.37/688.19
  6. Step 6: Final answer
    x = 338.43

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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.