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Finding the Fourth Proportional to 996.47, 1,374.77 and 598.15

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Solution

The fourth proportional to 996.47, 1,374.77 and 598.15 is: 825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.47 : 1,374.77 = 598.15 : x
  2. Step 2: Convert to fraction form
    996.47/1,374.77 = 598.15/x
  3. Step 3: Cross multiply
    996.47x = 1,374.77 × 598.15
  4. Step 4: Simplify right side
    996.47x = 822,318.68
  5. Step 5: Solve for x
    x = 822,318.68/996.47
  6. Step 6: Final answer
    x = 825.23

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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.