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Finding the Fourth Proportional to 905.04, 1,249.68 and 795.84

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Solution

The fourth proportional to 905.04, 1,249.68 and 795.84 is: 1,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,249.68 = 795.84 : x
  2. Step 2: Convert to fraction form
    905.04/1,249.68 = 795.84/x
  3. Step 3: Cross multiply
    905.04x = 1,249.68 × 795.84
  4. Step 4: Simplify right side
    905.04x = 994,545.33
  5. Step 5: Solve for x
    x = 994,545.33/905.04
  6. Step 6: Final answer
    x = 1,098.90

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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.