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Finding the Fourth Proportional to 794.48, 1,192.23 and 429.52

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Solution

The fourth proportional to 794.48, 1,192.23 and 429.52 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.48 : 1,192.23 = 429.52 : x
  2. Step 2: Convert to fraction form
    794.48/1,192.23 = 429.52/x
  3. Step 3: Cross multiply
    794.48x = 1,192.23 × 429.52
  4. Step 4: Simplify right side
    794.48x = 512,086.63
  5. Step 5: Solve for x
    x = 512,086.63/794.48
  6. Step 6: Final answer
    x = 644.56

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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.