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Finding the Fourth Proportional to 674.86, 1,011.93 and 349.42

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Solution

The fourth proportional to 674.86, 1,011.93 and 349.42 is: 523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 1,011.93 = 349.42 : x
  2. Step 2: Convert to fraction form
    674.86/1,011.93 = 349.42/x
  3. Step 3: Cross multiply
    674.86x = 1,011.93 × 349.42
  4. Step 4: Simplify right side
    674.86x = 353,588.58
  5. Step 5: Solve for x
    x = 353,588.58/674.86
  6. Step 6: Final answer
    x = 523.94

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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.