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Finding the Fourth Proportional to 940.34, 1,297.59 and 562.22

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Solution

The fourth proportional to 940.34, 1,297.59 and 562.22 is: 775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.34 : 1,297.59 = 562.22 : x
  2. Step 2: Convert to fraction form
    940.34/1,297.59 = 562.22/x
  3. Step 3: Cross multiply
    940.34x = 1,297.59 × 562.22
  4. Step 4: Simplify right side
    940.34x = 729,531.05
  5. Step 5: Solve for x
    x = 729,531.05/940.34
  6. Step 6: Final answer
    x = 775.82

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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.