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Finding the Fourth Proportional to 1,384.31, 1,910.36 and 794.84

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Solution

The fourth proportional to 1,384.31, 1,910.36 and 794.84 is: 1,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.31 : 1,910.36 = 794.84 : x
  2. Step 2: Convert to fraction form
    1,384.31/1,910.36 = 794.84/x
  3. Step 3: Cross multiply
    1,384.31x = 1,910.36 × 794.84
  4. Step 4: Simplify right side
    1,384.31x = 1,518,417.02
  5. Step 5: Solve for x
    x = 1,518,417.02/1,384.31
  6. Step 6: Final answer
    x = 1,096.88

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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.