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Finding the Fourth Proportional to 1,003.68, 1,384.56 and 794.70

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Solution

The fourth proportional to 1,003.68, 1,384.56 and 794.70 is: 1,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.68 : 1,384.56 = 794.70 : x
  2. Step 2: Convert to fraction form
    1,003.68/1,384.56 = 794.70/x
  3. Step 3: Cross multiply
    1,003.68x = 1,384.56 × 794.70
  4. Step 4: Simplify right side
    1,003.68x = 1,100,309.83
  5. Step 5: Solve for x
    x = 1,100,309.83/1,003.68
  6. Step 6: Final answer
    x = 1,096.28

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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.