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Finding the Fourth Proportional to 844.84, 1,266.33 and 570.85

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Solution

The fourth proportional to 844.84, 1,266.33 and 570.85 is: 855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.84 : 1,266.33 = 570.85 : x
  2. Step 2: Convert to fraction form
    844.84/1,266.33 = 570.85/x
  3. Step 3: Cross multiply
    844.84x = 1,266.33 × 570.85
  4. Step 4: Simplify right side
    844.84x = 722,884.48
  5. Step 5: Solve for x
    x = 722,884.48/844.84
  6. Step 6: Final answer
    x = 855.65

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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.