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Finding the Fourth Proportional to 772.93, 1,157.37 and 727.98

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Solution

The fourth proportional to 772.93, 1,157.37 and 727.98 is: 1,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.93 : 1,157.37 = 727.98 : x
  2. Step 2: Convert to fraction form
    772.93/1,157.37 = 727.98/x
  3. Step 3: Cross multiply
    772.93x = 1,157.37 × 727.98
  4. Step 4: Simplify right side
    772.93x = 842,542.21
  5. Step 5: Solve for x
    x = 842,542.21/772.93
  6. Step 6: Final answer
    x = 1,090.06

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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.