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Finding the Fourth Proportional to 889.08, 1,227.27 and 594.24

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Solution

The fourth proportional to 889.08, 1,227.27 and 594.24 is: 820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.08 : 1,227.27 = 594.24 : x
  2. Step 2: Convert to fraction form
    889.08/1,227.27 = 594.24/x
  3. Step 3: Cross multiply
    889.08x = 1,227.27 × 594.24
  4. Step 4: Simplify right side
    889.08x = 729,292.92
  5. Step 5: Solve for x
    x = 729,292.92/889.08
  6. Step 6: Final answer
    x = 820.28

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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.