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Finding the Fourth Proportional to 1,109.56, 1,531.34 and 1,075.56

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Solution

The fourth proportional to 1,109.56, 1,531.34 and 1,075.56 is: 1,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.56 : 1,531.34 = 1,075.56 : x
  2. Step 2: Convert to fraction form
    1,109.56/1,531.34 = 1,075.56/x
  3. Step 3: Cross multiply
    1,109.56x = 1,531.34 × 1,075.56
  4. Step 4: Simplify right side
    1,109.56x = 1,647,048.05
  5. Step 5: Solve for x
    x = 1,647,048.05/1,109.56
  6. Step 6: Final answer
    x = 1,484.42

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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.