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Finding the Fourth Proportional to 890.19, 1,229.11 and 642.06

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Solution

The fourth proportional to 890.19, 1,229.11 and 642.06 is: 886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.19 : 1,229.11 = 642.06 : x
  2. Step 2: Convert to fraction form
    890.19/1,229.11 = 642.06/x
  3. Step 3: Cross multiply
    890.19x = 1,229.11 × 642.06
  4. Step 4: Simplify right side
    890.19x = 789,160.76
  5. Step 5: Solve for x
    x = 789,160.76/890.19
  6. Step 6: Final answer
    x = 886.51

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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.