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Finding the Fourth Proportional to 974.38, 1,344.64 and 581.38

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Solution

The fourth proportional to 974.38, 1,344.64 and 581.38 is: 802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.38 : 1,344.64 = 581.38 : x
  2. Step 2: Convert to fraction form
    974.38/1,344.64 = 581.38/x
  3. Step 3: Cross multiply
    974.38x = 1,344.64 × 581.38
  4. Step 4: Simplify right side
    974.38x = 781,746.80
  5. Step 5: Solve for x
    x = 781,746.80/974.38
  6. Step 6: Final answer
    x = 802.30

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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.