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Finding the Fourth Proportional to 890.64, 1,229.04 and 541.26

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Solution

The fourth proportional to 890.64, 1,229.04 and 541.26 is: 746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.64 : 1,229.04 = 541.26 : x
  2. Step 2: Convert to fraction form
    890.64/1,229.04 = 541.26/x
  3. Step 3: Cross multiply
    890.64x = 1,229.04 × 541.26
  4. Step 4: Simplify right side
    890.64x = 665,230.19
  5. Step 5: Solve for x
    x = 665,230.19/890.64
  6. Step 6: Final answer
    x = 746.91

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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.