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Finding the Fourth Proportional to 914.22, 1,261.67 and 541.42

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Solution

The fourth proportional to 914.22, 1,261.67 and 541.42 is: 747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.22 : 1,261.67 = 541.42 : x
  2. Step 2: Convert to fraction form
    914.22/1,261.67 = 541.42/x
  3. Step 3: Cross multiply
    914.22x = 1,261.67 × 541.42
  4. Step 4: Simplify right side
    914.22x = 683,093.37
  5. Step 5: Solve for x
    x = 683,093.37/914.22
  6. Step 6: Final answer
    x = 747.19

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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.