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Finding the Fourth Proportional to 1,075.88, 1,600.94 and 1,072.23

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Solution

The fourth proportional to 1,075.88, 1,600.94 and 1,072.23 is: 1,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.88 : 1,600.94 = 1,072.23 : x
  2. Step 2: Convert to fraction form
    1,075.88/1,600.94 = 1,072.23/x
  3. Step 3: Cross multiply
    1,075.88x = 1,600.94 × 1,072.23
  4. Step 4: Simplify right side
    1,075.88x = 1,716,570.54
  5. Step 5: Solve for x
    x = 1,716,570.54/1,075.88
  6. Step 6: Final answer
    x = 1,595.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.