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Finding the Fourth Proportional to 796.71, 1,195.26 and 430.99

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Solution

The fourth proportional to 796.71, 1,195.26 and 430.99 is: 646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.71 : 1,195.26 = 430.99 : x
  2. Step 2: Convert to fraction form
    796.71/1,195.26 = 430.99/x
  3. Step 3: Cross multiply
    796.71x = 1,195.26 × 430.99
  4. Step 4: Simplify right side
    796.71x = 515,145.11
  5. Step 5: Solve for x
    x = 515,145.11/796.71
  6. Step 6: Final answer
    x = 646.59

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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.