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Finding the Fourth Proportional to 674.84, 930.72 and 638.36

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Solution

The fourth proportional to 674.84, 930.72 and 638.36 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 930.72 = 638.36 : x
  2. Step 2: Convert to fraction form
    674.84/930.72 = 638.36/x
  3. Step 3: Cross multiply
    674.84x = 930.72 × 638.36
  4. Step 4: Simplify right side
    674.84x = 594,134.42
  5. Step 5: Solve for x
    x = 594,134.42/674.84
  6. Step 6: Final answer
    x = 880.41

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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.