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Finding the Fourth Proportional to 793.76, 1,095.90 and 584.16

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Solution

The fourth proportional to 793.76, 1,095.90 and 584.16 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.76 : 1,095.90 = 584.16 : x
  2. Step 2: Convert to fraction form
    793.76/1,095.90 = 584.16/x
  3. Step 3: Cross multiply
    793.76x = 1,095.90 × 584.16
  4. Step 4: Simplify right side
    793.76x = 640,180.94
  5. Step 5: Solve for x
    x = 640,180.94/793.76
  6. Step 6: Final answer
    x = 806.52

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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.