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Finding the Fourth Proportional to 1,232.23, 1,700.82 and 735.22

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Solution

The fourth proportional to 1,232.23, 1,700.82 and 735.22 is: 1,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.23 : 1,700.82 = 735.22 : x
  2. Step 2: Convert to fraction form
    1,232.23/1,700.82 = 735.22/x
  3. Step 3: Cross multiply
    1,232.23x = 1,700.82 × 735.22
  4. Step 4: Simplify right side
    1,232.23x = 1,250,476.88
  5. Step 5: Solve for x
    x = 1,250,476.88/1,232.23
  6. Step 6: Final answer
    x = 1,014.81

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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.