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Finding the Fourth Proportional to 914.52, 1,261.62 and 704.34

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Solution

The fourth proportional to 914.52, 1,261.62 and 704.34 is: 971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.52 : 1,261.62 = 704.34 : x
  2. Step 2: Convert to fraction form
    914.52/1,261.62 = 704.34/x
  3. Step 3: Cross multiply
    914.52x = 1,261.62 × 704.34
  4. Step 4: Simplify right side
    914.52x = 888,609.43
  5. Step 5: Solve for x
    x = 888,609.43/914.52
  6. Step 6: Final answer
    x = 971.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.