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Finding the Fourth Proportional to 919.58, 1,269.30 and 546.83

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Solution

The fourth proportional to 919.58, 1,269.30 and 546.83 is: 754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.58 : 1,269.30 = 546.83 : x
  2. Step 2: Convert to fraction form
    919.58/1,269.30 = 546.83/x
  3. Step 3: Cross multiply
    919.58x = 1,269.30 × 546.83
  4. Step 4: Simplify right side
    919.58x = 694,083.60
  5. Step 5: Solve for x
    x = 694,083.60/919.58
  6. Step 6: Final answer
    x = 754.78

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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.