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Finding the Fourth Proportional to 974.04, 1,344.20 and 601.23

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Solution

The fourth proportional to 974.04, 1,344.20 and 601.23 is: 829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.04 : 1,344.20 = 601.23 : x
  2. Step 2: Convert to fraction form
    974.04/1,344.20 = 601.23/x
  3. Step 3: Cross multiply
    974.04x = 1,344.20 × 601.23
  4. Step 4: Simplify right side
    974.04x = 808,170.36
  5. Step 5: Solve for x
    x = 808,170.36/974.04
  6. Step 6: Final answer
    x = 829.71

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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.