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Finding the Fourth Proportional to 1,385.86, 1,911.96 and 796.08

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Solution

The fourth proportional to 1,385.86, 1,911.96 and 796.08 is: 1,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.86 : 1,911.96 = 796.08 : x
  2. Step 2: Convert to fraction form
    1,385.86/1,911.96 = 796.08/x
  3. Step 3: Cross multiply
    1,385.86x = 1,911.96 × 796.08
  4. Step 4: Simplify right side
    1,385.86x = 1,522,073.12
  5. Step 5: Solve for x
    x = 1,522,073.12/1,385.86
  6. Step 6: Final answer
    x = 1,098.29

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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.