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Finding the Fourth Proportional to 844.67, 1,265.04 and 497.31

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Solution

The fourth proportional to 844.67, 1,265.04 and 497.31 is: 744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.67 : 1,265.04 = 497.31 : x
  2. Step 2: Convert to fraction form
    844.67/1,265.04 = 497.31/x
  3. Step 3: Cross multiply
    844.67x = 1,265.04 × 497.31
  4. Step 4: Simplify right side
    844.67x = 629,117.04
  5. Step 5: Solve for x
    x = 629,117.04/844.67
  6. Step 6: Final answer
    x = 744.81

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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.