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Finding the Fourth Proportional to 889.34, 1,228.83 and 731.84

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Solution

The fourth proportional to 889.34, 1,228.83 and 731.84 is: 1,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.34 : 1,228.83 = 731.84 : x
  2. Step 2: Convert to fraction form
    889.34/1,228.83 = 731.84/x
  3. Step 3: Cross multiply
    889.34x = 1,228.83 × 731.84
  4. Step 4: Simplify right side
    889.34x = 899,306.95
  5. Step 5: Solve for x
    x = 899,306.95/889.34
  6. Step 6: Final answer
    x = 1,011.21

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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.