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Finding the Fourth Proportional to 890.96, 1,229.20 and 541.76

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Solution

The fourth proportional to 890.96, 1,229.20 and 541.76 is: 747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.96 : 1,229.20 = 541.76 : x
  2. Step 2: Convert to fraction form
    890.96/1,229.20 = 541.76/x
  3. Step 3: Cross multiply
    890.96x = 1,229.20 × 541.76
  4. Step 4: Simplify right side
    890.96x = 665,931.39
  5. Step 5: Solve for x
    x = 665,931.39/890.96
  6. Step 6: Final answer
    x = 747.43

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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.