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Finding the Fourth Proportional to 674.74, 1,012.09 and 400.75

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Solution

The fourth proportional to 674.74, 1,012.09 and 400.75 is: 601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.74 : 1,012.09 = 400.75 : x
  2. Step 2: Convert to fraction form
    674.74/1,012.09 = 400.75/x
  3. Step 3: Cross multiply
    674.74x = 1,012.09 × 400.75
  4. Step 4: Simplify right side
    674.74x = 405,595.07
  5. Step 5: Solve for x
    x = 405,595.07/674.74
  6. Step 6: Final answer
    x = 601.11

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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.