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Finding the Fourth Proportional to 974.49, 1,344.58 and 581.44

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Solution

The fourth proportional to 974.49, 1,344.58 and 581.44 is: 802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.49 : 1,344.58 = 581.44 : x
  2. Step 2: Convert to fraction form
    974.49/1,344.58 = 581.44/x
  3. Step 3: Cross multiply
    974.49x = 1,344.58 × 581.44
  4. Step 4: Simplify right side
    974.49x = 781,787.78
  5. Step 5: Solve for x
    x = 781,787.78/974.49
  6. Step 6: Final answer
    x = 802.25

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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.