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Finding the Fourth Proportional to 890.92, 1,230.64 and 727.20

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Solution

The fourth proportional to 890.92, 1,230.64 and 727.20 is: 1,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.92 : 1,230.64 = 727.20 : x
  2. Step 2: Convert to fraction form
    890.92/1,230.64 = 727.20/x
  3. Step 3: Cross multiply
    890.92x = 1,230.64 × 727.20
  4. Step 4: Simplify right side
    890.92x = 894,921.41
  5. Step 5: Solve for x
    x = 894,921.41/890.92
  6. Step 6: Final answer
    x = 1,004.49

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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.