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Finding the Fourth Proportional to 1,075.06, 1,611.78 and 344.44

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Solution

The fourth proportional to 1,075.06, 1,611.78 and 344.44 is: 516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.06 : 1,611.78 = 344.44 : x
  2. Step 2: Convert to fraction form
    1,075.06/1,611.78 = 344.44/x
  3. Step 3: Cross multiply
    1,075.06x = 1,611.78 × 344.44
  4. Step 4: Simplify right side
    1,075.06x = 555,161.50
  5. Step 5: Solve for x
    x = 555,161.50/1,075.06
  6. Step 6: Final answer
    x = 516.40

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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.