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Finding the Fourth Proportional to 673.74, 1,010.97 and 349.38

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Solution

The fourth proportional to 673.74, 1,010.97 and 349.38 is: 524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.74 : 1,010.97 = 349.38 : x
  2. Step 2: Convert to fraction form
    673.74/1,010.97 = 349.38/x
  3. Step 3: Cross multiply
    673.74x = 1,010.97 × 349.38
  4. Step 4: Simplify right side
    673.74x = 353,212.70
  5. Step 5: Solve for x
    x = 353,212.70/673.74
  6. Step 6: Final answer
    x = 524.26

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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.