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Finding the Fourth Proportional to 1,168.57, 1,612.73 and 644.71

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Solution

The fourth proportional to 1,168.57, 1,612.73 and 644.71 is: 889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.57 : 1,612.73 = 644.71 : x
  2. Step 2: Convert to fraction form
    1,168.57/1,612.73 = 644.71/x
  3. Step 3: Cross multiply
    1,168.57x = 1,612.73 × 644.71
  4. Step 4: Simplify right side
    1,168.57x = 1,039,743.16
  5. Step 5: Solve for x
    x = 1,039,743.16/1,168.57
  6. Step 6: Final answer
    x = 889.76

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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.