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Finding the Fourth Proportional to 889.61, 1,227.85 and 590.88

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Solution

The fourth proportional to 889.61, 1,227.85 and 590.88 is: 815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.61 : 1,227.85 = 590.88 : x
  2. Step 2: Convert to fraction form
    889.61/1,227.85 = 590.88/x
  3. Step 3: Cross multiply
    889.61x = 1,227.85 × 590.88
  4. Step 4: Simplify right side
    889.61x = 725,512.01
  5. Step 5: Solve for x
    x = 725,512.01/889.61
  6. Step 6: Final answer
    x = 815.54

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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.