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Finding the Fourth Proportional to 949.22, 1,422.91 and 701.36

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Solution

The fourth proportional to 949.22, 1,422.91 and 701.36 is: 1,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.22 : 1,422.91 = 701.36 : x
  2. Step 2: Convert to fraction form
    949.22/1,422.91 = 701.36/x
  3. Step 3: Cross multiply
    949.22x = 1,422.91 × 701.36
  4. Step 4: Simplify right side
    949.22x = 997,972.16
  5. Step 5: Solve for x
    x = 997,972.16/949.22
  6. Step 6: Final answer
    x = 1,051.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.