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Finding the Fourth Proportional to 889.60, 1,227.04 and 575.24

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Solution

The fourth proportional to 889.60, 1,227.04 and 575.24 is: 793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.60 : 1,227.04 = 575.24 : x
  2. Step 2: Convert to fraction form
    889.60/1,227.04 = 575.24/x
  3. Step 3: Cross multiply
    889.60x = 1,227.04 × 575.24
  4. Step 4: Simplify right side
    889.60x = 705,842.49
  5. Step 5: Solve for x
    x = 705,842.49/889.60
  6. Step 6: Final answer
    x = 793.44

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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.