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Finding the Fourth Proportional to 730.02, 1,092.54 and 568.44

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Solution

The fourth proportional to 730.02, 1,092.54 and 568.44 is: 850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.02 : 1,092.54 = 568.44 : x
  2. Step 2: Convert to fraction form
    730.02/1,092.54 = 568.44/x
  3. Step 3: Cross multiply
    730.02x = 1,092.54 × 568.44
  4. Step 4: Simplify right side
    730.02x = 621,043.44
  5. Step 5: Solve for x
    x = 621,043.44/730.02
  6. Step 6: Final answer
    x = 850.72

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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.