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Finding the Fourth Proportional to 974.16, 1,344.24 and 642.96

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Solution

The fourth proportional to 974.16, 1,344.24 and 642.96 is: 887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,344.24 = 642.96 : x
  2. Step 2: Convert to fraction form
    974.16/1,344.24 = 642.96/x
  3. Step 3: Cross multiply
    974.16x = 1,344.24 × 642.96
  4. Step 4: Simplify right side
    974.16x = 864,292.55
  5. Step 5: Solve for x
    x = 864,292.55/974.16
  6. Step 6: Final answer
    x = 887.22

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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.