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Finding the Fourth Proportional to 687.56, 948.57 and 451.77

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Solution

The fourth proportional to 687.56, 948.57 and 451.77 is: 623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.56 : 948.57 = 451.77 : x
  2. Step 2: Convert to fraction form
    687.56/948.57 = 451.77/x
  3. Step 3: Cross multiply
    687.56x = 948.57 × 451.77
  4. Step 4: Simplify right side
    687.56x = 428,535.47
  5. Step 5: Solve for x
    x = 428,535.47/687.56
  6. Step 6: Final answer
    x = 623.27

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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.