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Finding the Fourth Proportional to 1,385.11, 1,911.81 and 795.97

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Solution

The fourth proportional to 1,385.11, 1,911.81 and 795.97 is: 1,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.11 : 1,911.81 = 795.97 : x
  2. Step 2: Convert to fraction form
    1,385.11/1,911.81 = 795.97/x
  3. Step 3: Cross multiply
    1,385.11x = 1,911.81 × 795.97
  4. Step 4: Simplify right side
    1,385.11x = 1,521,743.41
  5. Step 5: Solve for x
    x = 1,521,743.41/1,385.11
  6. Step 6: Final answer
    x = 1,098.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.