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Finding the Fourth Proportional to 772.22, 1,156.88 and 381.77

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Solution

The fourth proportional to 772.22, 1,156.88 and 381.77 is: 571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.22 : 1,156.88 = 381.77 : x
  2. Step 2: Convert to fraction form
    772.22/1,156.88 = 381.77/x
  3. Step 3: Cross multiply
    772.22x = 1,156.88 × 381.77
  4. Step 4: Simplify right side
    772.22x = 441,657.26
  5. Step 5: Solve for x
    x = 441,657.26/772.22
  6. Step 6: Final answer
    x = 571.93

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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.