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Finding the Fourth Proportional to 687.37, 947.58 and 454.09

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Solution

The fourth proportional to 687.37, 947.58 and 454.09 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.37 : 947.58 = 454.09 : x
  2. Step 2: Convert to fraction form
    687.37/947.58 = 454.09/x
  3. Step 3: Cross multiply
    687.37x = 947.58 × 454.09
  4. Step 4: Simplify right side
    687.37x = 430,286.60
  5. Step 5: Solve for x
    x = 430,286.60/687.37
  6. Step 6: Final answer
    x = 625.99

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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.