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Finding the Fourth Proportional to 883.15, 1,321.30 and 758.77

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Solution

The fourth proportional to 883.15, 1,321.30 and 758.77 is: 1,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.15 : 1,321.30 = 758.77 : x
  2. Step 2: Convert to fraction form
    883.15/1,321.30 = 758.77/x
  3. Step 3: Cross multiply
    883.15x = 1,321.30 × 758.77
  4. Step 4: Simplify right side
    883.15x = 1,002,562.80
  5. Step 5: Solve for x
    x = 1,002,562.80/883.15
  6. Step 6: Final answer
    x = 1,135.21

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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.