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Finding the Fourth Proportional to 906.57, 1,353.29 and 838.89

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Solution

The fourth proportional to 906.57, 1,353.29 and 838.89 is: 1,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.57 : 1,353.29 = 838.89 : x
  2. Step 2: Convert to fraction form
    906.57/1,353.29 = 838.89/x
  3. Step 3: Cross multiply
    906.57x = 1,353.29 × 838.89
  4. Step 4: Simplify right side
    906.57x = 1,135,257.25
  5. Step 5: Solve for x
    x = 1,135,257.25/906.57
  6. Step 6: Final answer
    x = 1,252.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.