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Finding the Fourth Proportional to 889.34, 1,227.57 and 842.90

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Solution

The fourth proportional to 889.34, 1,227.57 and 842.90 is: 1,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.34 : 1,227.57 = 842.90 : x
  2. Step 2: Convert to fraction form
    889.34/1,227.57 = 842.90/x
  3. Step 3: Cross multiply
    889.34x = 1,227.57 × 842.90
  4. Step 4: Simplify right side
    889.34x = 1,034,718.75
  5. Step 5: Solve for x
    x = 1,034,718.75/889.34
  6. Step 6: Final answer
    x = 1,163.47

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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.