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Finding the Fourth Proportional to 792.16, 1,093.48 and 709.11

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Solution

The fourth proportional to 792.16, 1,093.48 and 709.11 is: 978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.16 : 1,093.48 = 709.11 : x
  2. Step 2: Convert to fraction form
    792.16/1,093.48 = 709.11/x
  3. Step 3: Cross multiply
    792.16x = 1,093.48 × 709.11
  4. Step 4: Simplify right side
    792.16x = 775,399.93
  5. Step 5: Solve for x
    x = 775,399.93/792.16
  6. Step 6: Final answer
    x = 978.85

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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.