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Finding the Fourth Proportional to 997.05, 1,376.07 and 598.71

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Solution

The fourth proportional to 997.05, 1,376.07 and 598.71 is: 826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.05 : 1,376.07 = 598.71 : x
  2. Step 2: Convert to fraction form
    997.05/1,376.07 = 598.71/x
  3. Step 3: Cross multiply
    997.05x = 1,376.07 × 598.71
  4. Step 4: Simplify right side
    997.05x = 823,866.87
  5. Step 5: Solve for x
    x = 823,866.87/997.05
  6. Step 6: Final answer
    x = 826.30

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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.