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Finding the Fourth Proportional to 687.23, 1,030.87 and 248.53

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Solution

The fourth proportional to 687.23, 1,030.87 and 248.53 is: 372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.23 : 1,030.87 = 248.53 : x
  2. Step 2: Convert to fraction form
    687.23/1,030.87 = 248.53/x
  3. Step 3: Cross multiply
    687.23x = 1,030.87 × 248.53
  4. Step 4: Simplify right side
    687.23x = 256,198.19
  5. Step 5: Solve for x
    x = 256,198.19/687.23
  6. Step 6: Final answer
    x = 372.80

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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.