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Finding the Fourth Proportional to 1,075.68, 1,614.33 and 426.47

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Solution

The fourth proportional to 1,075.68, 1,614.33 and 426.47 is: 640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.68 : 1,614.33 = 426.47 : x
  2. Step 2: Convert to fraction form
    1,075.68/1,614.33 = 426.47/x
  3. Step 3: Cross multiply
    1,075.68x = 1,614.33 × 426.47
  4. Step 4: Simplify right side
    1,075.68x = 688,455.24
  5. Step 5: Solve for x
    x = 688,455.24/1,075.68
  6. Step 6: Final answer
    x = 640.02

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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.