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Finding the Fourth Proportional to 974.18, 1,343.92 and 601.04

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Solution

The fourth proportional to 974.18, 1,343.92 and 601.04 is: 829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,343.92 = 601.04 : x
  2. Step 2: Convert to fraction form
    974.18/1,343.92 = 601.04/x
  3. Step 3: Cross multiply
    974.18x = 1,343.92 × 601.04
  4. Step 4: Simplify right side
    974.18x = 807,749.68
  5. Step 5: Solve for x
    x = 807,749.68/974.18
  6. Step 6: Final answer
    x = 829.16

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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.