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Finding the Fourth Proportional to 674.28, 928.26 and 643.32

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Solution

The fourth proportional to 674.28, 928.26 and 643.32 is: 885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.28 : 928.26 = 643.32 : x
  2. Step 2: Convert to fraction form
    674.28/928.26 = 643.32/x
  3. Step 3: Cross multiply
    674.28x = 928.26 × 643.32
  4. Step 4: Simplify right side
    674.28x = 597,168.22
  5. Step 5: Solve for x
    x = 597,168.22/674.28
  6. Step 6: Final answer
    x = 885.64

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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.