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Finding the Fourth Proportional to 687.11, 948.75 and 451.22

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Solution

The fourth proportional to 687.11, 948.75 and 451.22 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.11 : 948.75 = 451.22 : x
  2. Step 2: Convert to fraction form
    687.11/948.75 = 451.22/x
  3. Step 3: Cross multiply
    687.11x = 948.75 × 451.22
  4. Step 4: Simplify right side
    687.11x = 428,094.98
  5. Step 5: Solve for x
    x = 428,094.98/687.11
  6. Step 6: Final answer
    x = 623.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.