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Finding the Fourth Proportional to 890.72, 1,229.12 and 541.36

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Solution

The fourth proportional to 890.72, 1,229.12 and 541.36 is: 747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.72 : 1,229.12 = 541.36 : x
  2. Step 2: Convert to fraction form
    890.72/1,229.12 = 541.36/x
  3. Step 3: Cross multiply
    890.72x = 1,229.12 × 541.36
  4. Step 4: Simplify right side
    890.72x = 665,396.40
  5. Step 5: Solve for x
    x = 665,396.40/890.72
  6. Step 6: Final answer
    x = 747.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.