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Finding the Fourth Proportional to 889.09, 1,226.99 and 535.07

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Solution

The fourth proportional to 889.09, 1,226.99 and 535.07 is: 738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.09 : 1,226.99 = 535.07 : x
  2. Step 2: Convert to fraction form
    889.09/1,226.99 = 535.07/x
  3. Step 3: Cross multiply
    889.09x = 1,226.99 × 535.07
  4. Step 4: Simplify right side
    889.09x = 656,529.94
  5. Step 5: Solve for x
    x = 656,529.94/889.09
  6. Step 6: Final answer
    x = 738.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.