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Finding the Fourth Proportional to 1,075.74, 1,614.34 and 426.62

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Solution

The fourth proportional to 1,075.74, 1,614.34 and 426.62 is: 640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.74 : 1,614.34 = 426.62 : x
  2. Step 2: Convert to fraction form
    1,075.74/1,614.34 = 426.62/x
  3. Step 3: Cross multiply
    1,075.74x = 1,614.34 × 426.62
  4. Step 4: Simplify right side
    1,075.74x = 688,709.73
  5. Step 5: Solve for x
    x = 688,709.73/1,075.74
  6. Step 6: Final answer
    x = 640.22

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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.