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Finding the Fourth Proportional to 993.36, 1,367.46 and 784.20

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Solution

The fourth proportional to 993.36, 1,367.46 and 784.20 is: 1,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.36 : 1,367.46 = 784.20 : x
  2. Step 2: Convert to fraction form
    993.36/1,367.46 = 784.20/x
  3. Step 3: Cross multiply
    993.36x = 1,367.46 × 784.20
  4. Step 4: Simplify right side
    993.36x = 1,072,362.13
  5. Step 5: Solve for x
    x = 1,072,362.13/993.36
  6. Step 6: Final answer
    x = 1,079.53

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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.