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Finding the Fourth Proportional to 905.61, 1,351.89 and 837.98

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Solution

The fourth proportional to 905.61, 1,351.89 and 837.98 is: 1,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.61 : 1,351.89 = 837.98 : x
  2. Step 2: Convert to fraction form
    905.61/1,351.89 = 837.98/x
  3. Step 3: Cross multiply
    905.61x = 1,351.89 × 837.98
  4. Step 4: Simplify right side
    905.61x = 1,132,850.02
  5. Step 5: Solve for x
    x = 1,132,850.02/905.61
  6. Step 6: Final answer
    x = 1,250.92

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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.