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Finding the Fourth Proportional to 940.71, 1,297.29 and 705.22

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Solution

The fourth proportional to 940.71, 1,297.29 and 705.22 is: 972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.71 : 1,297.29 = 705.22 : x
  2. Step 2: Convert to fraction form
    940.71/1,297.29 = 705.22/x
  3. Step 3: Cross multiply
    940.71x = 1,297.29 × 705.22
  4. Step 4: Simplify right side
    940.71x = 914,874.85
  5. Step 5: Solve for x
    x = 914,874.85/940.71
  6. Step 6: Final answer
    x = 972.54

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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.