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Finding the Fourth Proportional to 1,383.78, 1,909.76 and 794.50

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Solution

The fourth proportional to 1,383.78, 1,909.76 and 794.50 is: 1,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.78 : 1,909.76 = 794.50 : x
  2. Step 2: Convert to fraction form
    1,383.78/1,909.76 = 794.50/x
  3. Step 3: Cross multiply
    1,383.78x = 1,909.76 × 794.50
  4. Step 4: Simplify right side
    1,383.78x = 1,517,304.32
  5. Step 5: Solve for x
    x = 1,517,304.32/1,383.78
  6. Step 6: Final answer
    x = 1,096.49

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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.