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Finding the Fourth Proportional to 890.72, 1,228.64 and 541.44

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Solution

The fourth proportional to 890.72, 1,228.64 and 541.44 is: 746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.72 : 1,228.64 = 541.44 : x
  2. Step 2: Convert to fraction form
    890.72/1,228.64 = 541.44/x
  3. Step 3: Cross multiply
    890.72x = 1,228.64 × 541.44
  4. Step 4: Simplify right side
    890.72x = 665,234.84
  5. Step 5: Solve for x
    x = 665,234.84/890.72
  6. Step 6: Final answer
    x = 746.85

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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.