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Finding the Fourth Proportional to 914.09, 1,261.31 and 541.08

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Solution

The fourth proportional to 914.09, 1,261.31 and 541.08 is: 746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.09 : 1,261.31 = 541.08 : x
  2. Step 2: Convert to fraction form
    914.09/1,261.31 = 541.08/x
  3. Step 3: Cross multiply
    914.09x = 1,261.31 × 541.08
  4. Step 4: Simplify right side
    914.09x = 682,466.91
  5. Step 5: Solve for x
    x = 682,466.91/914.09
  6. Step 6: Final answer
    x = 746.61

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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.