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Finding the Fourth Proportional to 974.04, 1,343.99 and 674.82

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Solution

The fourth proportional to 974.04, 1,343.99 and 674.82 is: 931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.04 : 1,343.99 = 674.82 : x
  2. Step 2: Convert to fraction form
    974.04/1,343.99 = 674.82/x
  3. Step 3: Cross multiply
    974.04x = 1,343.99 × 674.82
  4. Step 4: Simplify right side
    974.04x = 906,947.96
  5. Step 5: Solve for x
    x = 906,947.96/974.04
  6. Step 6: Final answer
    x = 931.12

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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.