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Finding the Fourth Proportional to 777.48, 1,163.93 and 596.99

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Solution

The fourth proportional to 777.48, 1,163.93 and 596.99 is: 893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.48 : 1,163.93 = 596.99 : x
  2. Step 2: Convert to fraction form
    777.48/1,163.93 = 596.99/x
  3. Step 3: Cross multiply
    777.48x = 1,163.93 × 596.99
  4. Step 4: Simplify right side
    777.48x = 694,845.77
  5. Step 5: Solve for x
    x = 694,845.77/777.48
  6. Step 6: Final answer
    x = 893.72

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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.