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Finding the Fourth Proportional to 997.61, 1,376.35 and 599.40

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Solution

The fourth proportional to 997.61, 1,376.35 and 599.40 is: 826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.61 : 1,376.35 = 599.40 : x
  2. Step 2: Convert to fraction form
    997.61/1,376.35 = 599.40/x
  3. Step 3: Cross multiply
    997.61x = 1,376.35 × 599.40
  4. Step 4: Simplify right side
    997.61x = 824,982.69
  5. Step 5: Solve for x
    x = 824,982.69/997.61
  6. Step 6: Final answer
    x = 826.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.