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Finding the Fourth Proportional to 1,383.53, 1,909.26 and 794.03

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Solution

The fourth proportional to 1,383.53, 1,909.26 and 794.03 is: 1,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.53 : 1,909.26 = 794.03 : x
  2. Step 2: Convert to fraction form
    1,383.53/1,909.26 = 794.03/x
  3. Step 3: Cross multiply
    1,383.53x = 1,909.26 × 794.03
  4. Step 4: Simplify right side
    1,383.53x = 1,516,000.17
  5. Step 5: Solve for x
    x = 1,516,000.17/1,383.53
  6. Step 6: Final answer
    x = 1,095.75

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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.