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Finding the Fourth Proportional to 974.04, 1,343.97 and 581.19

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Solution

The fourth proportional to 974.04, 1,343.97 and 581.19 is: 801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.04 : 1,343.97 = 581.19 : x
  2. Step 2: Convert to fraction form
    974.04/1,343.97 = 581.19/x
  3. Step 3: Cross multiply
    974.04x = 1,343.97 × 581.19
  4. Step 4: Simplify right side
    974.04x = 781,101.92
  5. Step 5: Solve for x
    x = 781,101.92/974.04
  6. Step 6: Final answer
    x = 801.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.