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Finding the Fourth Proportional to 1,075.83, 1,613.10 and 426.42

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Solution

The fourth proportional to 1,075.83, 1,613.10 and 426.42 is: 639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.83 : 1,613.10 = 426.42 : x
  2. Step 2: Convert to fraction form
    1,075.83/1,613.10 = 426.42/x
  3. Step 3: Cross multiply
    1,075.83x = 1,613.10 × 426.42
  4. Step 4: Simplify right side
    1,075.83x = 687,858.10
  5. Step 5: Solve for x
    x = 687,858.10/1,075.83
  6. Step 6: Final answer
    x = 639.37

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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.