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Finding the Fourth Proportional to 1,075.11, 1,613.49 and 762.73

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Solution

The fourth proportional to 1,075.11, 1,613.49 and 762.73 is: 1,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.11 : 1,613.49 = 762.73 : x
  2. Step 2: Convert to fraction form
    1,075.11/1,613.49 = 762.73/x
  3. Step 3: Cross multiply
    1,075.11x = 1,613.49 × 762.73
  4. Step 4: Simplify right side
    1,075.11x = 1,230,653.41
  5. Step 5: Solve for x
    x = 1,230,653.41/1,075.11
  6. Step 6: Final answer
    x = 1,144.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.