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Finding the Fourth Proportional to 800.86, 1,104.48 and 765.84

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Solution

The fourth proportional to 800.86, 1,104.48 and 765.84 is: 1,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.86 : 1,104.48 = 765.84 : x
  2. Step 2: Convert to fraction form
    800.86/1,104.48 = 765.84/x
  3. Step 3: Cross multiply
    800.86x = 1,104.48 × 765.84
  4. Step 4: Simplify right side
    800.86x = 845,854.96
  5. Step 5: Solve for x
    x = 845,854.96/800.86
  6. Step 6: Final answer
    x = 1,056.18

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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.