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Finding the Fourth Proportional to 889.92, 1,228.24 and 862.56

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Solution

The fourth proportional to 889.92, 1,228.24 and 862.56 is: 1,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,228.24 = 862.56 : x
  2. Step 2: Convert to fraction form
    889.92/1,228.24 = 862.56/x
  3. Step 3: Cross multiply
    889.92x = 1,228.24 × 862.56
  4. Step 4: Simplify right side
    889.92x = 1,059,430.69
  5. Step 5: Solve for x
    x = 1,059,430.69/889.92
  6. Step 6: Final answer
    x = 1,190.48

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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.