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Finding the Fourth Proportional to 674.80, 1,011.54 and 414.84

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Solution

The fourth proportional to 674.80, 1,011.54 and 414.84 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.80 : 1,011.54 = 414.84 : x
  2. Step 2: Convert to fraction form
    674.80/1,011.54 = 414.84/x
  3. Step 3: Cross multiply
    674.80x = 1,011.54 × 414.84
  4. Step 4: Simplify right side
    674.80x = 419,627.25
  5. Step 5: Solve for x
    x = 419,627.25/674.80
  6. Step 6: Final answer
    x = 621.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.