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Finding the Fourth Proportional to 687.72, 947.97 and 521.26

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Solution

The fourth proportional to 687.72, 947.97 and 521.26 is: 718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.72 : 947.97 = 521.26 : x
  2. Step 2: Convert to fraction form
    687.72/947.97 = 521.26/x
  3. Step 3: Cross multiply
    687.72x = 947.97 × 521.26
  4. Step 4: Simplify right side
    687.72x = 494,138.84
  5. Step 5: Solve for x
    x = 494,138.84/687.72
  6. Step 6: Final answer
    x = 718.52

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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.