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Finding the Fourth Proportional to 794.09, 1,095.80 and 444.75

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Solution

The fourth proportional to 794.09, 1,095.80 and 444.75 is: 613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.09 : 1,095.80 = 444.75 : x
  2. Step 2: Convert to fraction form
    794.09/1,095.80 = 444.75/x
  3. Step 3: Cross multiply
    794.09x = 1,095.80 × 444.75
  4. Step 4: Simplify right side
    794.09x = 487,354.83
  5. Step 5: Solve for x
    x = 487,354.83/794.09
  6. Step 6: Final answer
    x = 613.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.