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Finding the Fourth Proportional to 890.33, 1,228.88 and 541.31

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Solution

The fourth proportional to 890.33, 1,228.88 and 541.31 is: 747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.33 : 1,228.88 = 541.31 : x
  2. Step 2: Convert to fraction form
    890.33/1,228.88 = 541.31/x
  3. Step 3: Cross multiply
    890.33x = 1,228.88 × 541.31
  4. Step 4: Simplify right side
    890.33x = 665,202.33
  5. Step 5: Solve for x
    x = 665,202.33/890.33
  6. Step 6: Final answer
    x = 747.14

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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.