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Finding the Fourth Proportional to 1,099.68, 1,514.22 and 1,075.38

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Solution

The fourth proportional to 1,099.68, 1,514.22 and 1,075.38 is: 1,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.68 : 1,514.22 = 1,075.38 : x
  2. Step 2: Convert to fraction form
    1,099.68/1,514.22 = 1,075.38/x
  3. Step 3: Cross multiply
    1,099.68x = 1,514.22 × 1,075.38
  4. Step 4: Simplify right side
    1,099.68x = 1,628,361.90
  5. Step 5: Solve for x
    x = 1,628,361.90/1,099.68
  6. Step 6: Final answer
    x = 1,480.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.