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Finding the Fourth Proportional to 968.98, 1,336.74 and 654.44

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Solution

The fourth proportional to 968.98, 1,336.74 and 654.44 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.98 : 1,336.74 = 654.44 : x
  2. Step 2: Convert to fraction form
    968.98/1,336.74 = 654.44/x
  3. Step 3: Cross multiply
    968.98x = 1,336.74 × 654.44
  4. Step 4: Simplify right side
    968.98x = 874,816.13
  5. Step 5: Solve for x
    x = 874,816.13/968.98
  6. Step 6: Final answer
    x = 902.82

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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.