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Finding the Fourth Proportional to 842.23, 1,163.00 and 528.02

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Solution

The fourth proportional to 842.23, 1,163.00 and 528.02 is: 729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.23 : 1,163.00 = 528.02 : x
  2. Step 2: Convert to fraction form
    842.23/1,163.00 = 528.02/x
  3. Step 3: Cross multiply
    842.23x = 1,163.00 × 528.02
  4. Step 4: Simplify right side
    842.23x = 614,092.18
  5. Step 5: Solve for x
    x = 614,092.18/842.23
  6. Step 6: Final answer
    x = 729.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.