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Finding the Fourth Proportional to 687.36, 947.95 and 451.24

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Solution

The fourth proportional to 687.36, 947.95 and 451.24 is: 622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.36 : 947.95 = 451.24 : x
  2. Step 2: Convert to fraction form
    687.36/947.95 = 451.24/x
  3. Step 3: Cross multiply
    687.36x = 947.95 × 451.24
  4. Step 4: Simplify right side
    687.36x = 427,752.96
  5. Step 5: Solve for x
    x = 427,752.96/687.36
  6. Step 6: Final answer
    x = 622.31

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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.