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Finding the Fourth Proportional to 889.19, 1,227.32 and 557.81

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Solution

The fourth proportional to 889.19, 1,227.32 and 557.81 is: 769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.19 : 1,227.32 = 557.81 : x
  2. Step 2: Convert to fraction form
    889.19/1,227.32 = 557.81/x
  3. Step 3: Cross multiply
    889.19x = 1,227.32 × 557.81
  4. Step 4: Simplify right side
    889.19x = 684,611.37
  5. Step 5: Solve for x
    x = 684,611.37/889.19
  6. Step 6: Final answer
    x = 769.93

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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.