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Finding the Fourth Proportional to 974.03, 1,344.20 and 581.18

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Solution

The fourth proportional to 974.03, 1,344.20 and 581.18 is: 802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.03 : 1,344.20 = 581.18 : x
  2. Step 2: Convert to fraction form
    974.03/1,344.20 = 581.18/x
  3. Step 3: Cross multiply
    974.03x = 1,344.20 × 581.18
  4. Step 4: Simplify right side
    974.03x = 781,212.53
  5. Step 5: Solve for x
    x = 781,212.53/974.03
  6. Step 6: Final answer
    x = 802.05

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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.