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Finding the Fourth Proportional to 687.15, 1,030.94 and 248.43

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Solution

The fourth proportional to 687.15, 1,030.94 and 248.43 is: 372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.15 : 1,030.94 = 248.43 : x
  2. Step 2: Convert to fraction form
    687.15/1,030.94 = 248.43/x
  3. Step 3: Cross multiply
    687.15x = 1,030.94 × 248.43
  4. Step 4: Simplify right side
    687.15x = 256,115.18
  5. Step 5: Solve for x
    x = 256,115.18/687.15
  6. Step 6: Final answer
    x = 372.72

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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.