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Finding the Fourth Proportional to 1,075.94, 1,601.04 and 1,072.29

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Solution

The fourth proportional to 1,075.94, 1,601.04 and 1,072.29 is: 1,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.94 : 1,601.04 = 1,072.29 : x
  2. Step 2: Convert to fraction form
    1,075.94/1,601.04 = 1,072.29/x
  3. Step 3: Cross multiply
    1,075.94x = 1,601.04 × 1,072.29
  4. Step 4: Simplify right side
    1,075.94x = 1,716,789.21
  5. Step 5: Solve for x
    x = 1,716,789.21/1,075.94
  6. Step 6: Final answer
    x = 1,595.62

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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.