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Finding the Fourth Proportional to 784.12, 1,176.22 and 236.28

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Solution

The fourth proportional to 784.12, 1,176.22 and 236.28 is: 354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.12 : 1,176.22 = 236.28 : x
  2. Step 2: Convert to fraction form
    784.12/1,176.22 = 236.28/x
  3. Step 3: Cross multiply
    784.12x = 1,176.22 × 236.28
  4. Step 4: Simplify right side
    784.12x = 277,917.26
  5. Step 5: Solve for x
    x = 277,917.26/784.12
  6. Step 6: Final answer
    x = 354.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.