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Finding the Fourth Proportional to 688.22, 947.34 and 600.74

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Solution

The fourth proportional to 688.22, 947.34 and 600.74 is: 826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.22 : 947.34 = 600.74 : x
  2. Step 2: Convert to fraction form
    688.22/947.34 = 600.74/x
  3. Step 3: Cross multiply
    688.22x = 947.34 × 600.74
  4. Step 4: Simplify right side
    688.22x = 569,100.29
  5. Step 5: Solve for x
    x = 569,100.29/688.22
  6. Step 6: Final answer
    x = 826.92

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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.