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Finding the Fourth Proportional to 843.09, 1,263.68 and 431.63

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Solution

The fourth proportional to 843.09, 1,263.68 and 431.63 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.09 : 1,263.68 = 431.63 : x
  2. Step 2: Convert to fraction form
    843.09/1,263.68 = 431.63/x
  3. Step 3: Cross multiply
    843.09x = 1,263.68 × 431.63
  4. Step 4: Simplify right side
    843.09x = 545,442.20
  5. Step 5: Solve for x
    x = 545,442.20/843.09
  6. Step 6: Final answer
    x = 646.96

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