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Finding the Fourth Proportional to 1,385.70, 1,911.70 and 796.15

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Solution

The fourth proportional to 1,385.70, 1,911.70 and 796.15 is: 1,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.70 : 1,911.70 = 796.15 : x
  2. Step 2: Convert to fraction form
    1,385.70/1,911.70 = 796.15/x
  3. Step 3: Cross multiply
    1,385.70x = 1,911.70 × 796.15
  4. Step 4: Simplify right side
    1,385.70x = 1,521,999.96
  5. Step 5: Solve for x
    x = 1,521,999.96/1,385.70
  6. Step 6: Final answer
    x = 1,098.36

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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.