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Finding the Fourth Proportional to 1,075.09, 1,613.54 and 426.27

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Solution

The fourth proportional to 1,075.09, 1,613.54 and 426.27 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.09 : 1,613.54 = 426.27 : x
  2. Step 2: Convert to fraction form
    1,075.09/1,613.54 = 426.27/x
  3. Step 3: Cross multiply
    1,075.09x = 1,613.54 × 426.27
  4. Step 4: Simplify right side
    1,075.09x = 687,801.56
  5. Step 5: Solve for x
    x = 687,801.56/1,075.09
  6. Step 6: Final answer
    x = 639.76

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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.