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Finding the Fourth Proportional to 1,075.22, 1,611.44 and 935.82

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Solution

The fourth proportional to 1,075.22, 1,611.44 and 935.82 is: 1,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.22 : 1,611.44 = 935.82 : x
  2. Step 2: Convert to fraction form
    1,075.22/1,611.44 = 935.82/x
  3. Step 3: Cross multiply
    1,075.22x = 1,611.44 × 935.82
  4. Step 4: Simplify right side
    1,075.22x = 1,508,021.88
  5. Step 5: Solve for x
    x = 1,508,021.88/1,075.22
  6. Step 6: Final answer
    x = 1,402.52

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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.