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Finding the Fourth Proportional to 796.35, 1,192.71 and 430.95

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Solution

The fourth proportional to 796.35, 1,192.71 and 430.95 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,192.71 = 430.95 : x
  2. Step 2: Convert to fraction form
    796.35/1,192.71 = 430.95/x
  3. Step 3: Cross multiply
    796.35x = 1,192.71 × 430.95
  4. Step 4: Simplify right side
    796.35x = 513,998.37
  5. Step 5: Solve for x
    x = 513,998.37/796.35
  6. Step 6: Final answer
    x = 645.44

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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.