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Finding the Fourth Proportional to 687.93, 1,032.08 and 225.73

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Solution

The fourth proportional to 687.93, 1,032.08 and 225.73 is: 338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.93 : 1,032.08 = 225.73 : x
  2. Step 2: Convert to fraction form
    687.93/1,032.08 = 225.73/x
  3. Step 3: Cross multiply
    687.93x = 1,032.08 × 225.73
  4. Step 4: Simplify right side
    687.93x = 232,971.42
  5. Step 5: Solve for x
    x = 232,971.42/687.93
  6. Step 6: Final answer
    x = 338.66

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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.