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Finding the Fourth Proportional to 1,383.85, 1,909.65 and 793.97

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Solution

The fourth proportional to 1,383.85, 1,909.65 and 793.97 is: 1,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.85 : 1,909.65 = 793.97 : x
  2. Step 2: Convert to fraction form
    1,383.85/1,909.65 = 793.97/x
  3. Step 3: Cross multiply
    1,383.85x = 1,909.65 × 793.97
  4. Step 4: Simplify right side
    1,383.85x = 1,516,204.81
  5. Step 5: Solve for x
    x = 1,516,204.81/1,383.85
  6. Step 6: Final answer
    x = 1,095.64

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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.