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Finding the Fourth Proportional to 687.53, 1,031.33 and 225.27

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Solution

The fourth proportional to 687.53, 1,031.33 and 225.27 is: 337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.53 : 1,031.33 = 225.27 : x
  2. Step 2: Convert to fraction form
    687.53/1,031.33 = 225.27/x
  3. Step 3: Cross multiply
    687.53x = 1,031.33 × 225.27
  4. Step 4: Simplify right side
    687.53x = 232,326.58
  5. Step 5: Solve for x
    x = 232,326.58/687.53
  6. Step 6: Final answer
    x = 337.92

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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.