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Finding the Fourth Proportional to 786.22, 1,179.64 and 353.08

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Solution

The fourth proportional to 786.22, 1,179.64 and 353.08 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.22 : 1,179.64 = 353.08 : x
  2. Step 2: Convert to fraction form
    786.22/1,179.64 = 353.08/x
  3. Step 3: Cross multiply
    786.22x = 1,179.64 × 353.08
  4. Step 4: Simplify right side
    786.22x = 416,507.29
  5. Step 5: Solve for x
    x = 416,507.29/786.22
  6. Step 6: Final answer
    x = 529.76

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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.