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Finding the Fourth Proportional to 974.25, 1,344.47 and 600.98

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Solution

The fourth proportional to 974.25, 1,344.47 and 600.98 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.25 : 1,344.47 = 600.98 : x
  2. Step 2: Convert to fraction form
    974.25/1,344.47 = 600.98/x
  3. Step 3: Cross multiply
    974.25x = 1,344.47 × 600.98
  4. Step 4: Simplify right side
    974.25x = 807,989.85
  5. Step 5: Solve for x
    x = 807,989.85/974.25
  6. Step 6: Final answer
    x = 829.35

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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.