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Finding the Fourth Proportional to 844.84, 1,265.88 and 812.84

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Solution

The fourth proportional to 844.84, 1,265.88 and 812.84 is: 1,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.84 : 1,265.88 = 812.84 : x
  2. Step 2: Convert to fraction form
    844.84/1,265.88 = 812.84/x
  3. Step 3: Cross multiply
    844.84x = 1,265.88 × 812.84
  4. Step 4: Simplify right side
    844.84x = 1,028,957.90
  5. Step 5: Solve for x
    x = 1,028,957.90/844.84
  6. Step 6: Final answer
    x = 1,217.93

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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.