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Finding the Fourth Proportional to 796.40, 1,099.34 and 713.36

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Solution

The fourth proportional to 796.40, 1,099.34 and 713.36 is: 984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.40 : 1,099.34 = 713.36 : x
  2. Step 2: Convert to fraction form
    796.40/1,099.34 = 713.36/x
  3. Step 3: Cross multiply
    796.40x = 1,099.34 × 713.36
  4. Step 4: Simplify right side
    796.40x = 784,225.18
  5. Step 5: Solve for x
    x = 784,225.18/796.40
  6. Step 6: Final answer
    x = 984.71

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1.5x scale

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.