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Finding the Fourth Proportional to 996.50, 1,374.23 and 598.10

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Solution

The fourth proportional to 996.50, 1,374.23 and 598.10 is: 824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.50 : 1,374.23 = 598.10 : x
  2. Step 2: Convert to fraction form
    996.50/1,374.23 = 598.10/x
  3. Step 3: Cross multiply
    996.50x = 1,374.23 × 598.10
  4. Step 4: Simplify right side
    996.50x = 821,923.97
  5. Step 5: Solve for x
    x = 821,923.97/996.50
  6. Step 6: Final answer
    x = 824.81

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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.