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Finding the Fourth Proportional to 1,384.56, 1,910.25 and 794.88

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Solution

The fourth proportional to 1,384.56, 1,910.25 and 794.88 is: 1,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.56 : 1,910.25 = 794.88 : x
  2. Step 2: Convert to fraction form
    1,384.56/1,910.25 = 794.88/x
  3. Step 3: Cross multiply
    1,384.56x = 1,910.25 × 794.88
  4. Step 4: Simplify right side
    1,384.56x = 1,518,419.52
  5. Step 5: Solve for x
    x = 1,518,419.52/1,384.56
  6. Step 6: Final answer
    x = 1,096.68

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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.