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Finding the Fourth Proportional to 796.02, 1,194.09 and 430.73

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Solution

The fourth proportional to 796.02, 1,194.09 and 430.73 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.02 : 1,194.09 = 430.73 : x
  2. Step 2: Convert to fraction form
    796.02/1,194.09 = 430.73/x
  3. Step 3: Cross multiply
    796.02x = 1,194.09 × 430.73
  4. Step 4: Simplify right side
    796.02x = 514,330.39
  5. Step 5: Solve for x
    x = 514,330.39/796.02
  6. Step 6: Final answer
    x = 646.13

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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.