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Finding the Fourth Proportional to 889.98, 1,228.95 and 812.22

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Solution

The fourth proportional to 889.98, 1,228.95 and 812.22 is: 1,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.98 : 1,228.95 = 812.22 : x
  2. Step 2: Convert to fraction form
    889.98/1,228.95 = 812.22/x
  3. Step 3: Cross multiply
    889.98x = 1,228.95 × 812.22
  4. Step 4: Simplify right side
    889.98x = 998,177.77
  5. Step 5: Solve for x
    x = 998,177.77/889.98
  6. Step 6: Final answer
    x = 1,121.57

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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.