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Finding the Fourth Proportional to 794.36, 1,189.22 and 464.30

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Solution

The fourth proportional to 794.36, 1,189.22 and 464.30 is: 695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.36 : 1,189.22 = 464.30 : x
  2. Step 2: Convert to fraction form
    794.36/1,189.22 = 464.30/x
  3. Step 3: Cross multiply
    794.36x = 1,189.22 × 464.30
  4. Step 4: Simplify right side
    794.36x = 552,154.85
  5. Step 5: Solve for x
    x = 552,154.85/794.36
  6. Step 6: Final answer
    x = 695.09

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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.