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Finding the Fourth Proportional to 891.75, 1,336.26 and 566.13

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Solution

The fourth proportional to 891.75, 1,336.26 and 566.13 is: 848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.75 : 1,336.26 = 566.13 : x
  2. Step 2: Convert to fraction form
    891.75/1,336.26 = 566.13/x
  3. Step 3: Cross multiply
    891.75x = 1,336.26 × 566.13
  4. Step 4: Simplify right side
    891.75x = 756,496.87
  5. Step 5: Solve for x
    x = 756,496.87/891.75
  6. Step 6: Final answer
    x = 848.33

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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.