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Finding the Fourth Proportional to 904.84, 1,245.54 and 793.80

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Solution

The fourth proportional to 904.84, 1,245.54 and 793.80 is: 1,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.84 : 1,245.54 = 793.80 : x
  2. Step 2: Convert to fraction form
    904.84/1,245.54 = 793.80/x
  3. Step 3: Cross multiply
    904.84x = 1,245.54 × 793.80
  4. Step 4: Simplify right side
    904.84x = 988,709.65
  5. Step 5: Solve for x
    x = 988,709.65/904.84
  6. Step 6: Final answer
    x = 1,092.69

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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.