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Finding the Fourth Proportional to 1,075.49, 1,612.44 and 344.64

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Solution

The fourth proportional to 1,075.49, 1,612.44 and 344.64 is: 516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.49 : 1,612.44 = 344.64 : x
  2. Step 2: Convert to fraction form
    1,075.49/1,612.44 = 344.64/x
  3. Step 3: Cross multiply
    1,075.49x = 1,612.44 × 344.64
  4. Step 4: Simplify right side
    1,075.49x = 555,711.32
  5. Step 5: Solve for x
    x = 555,711.32/1,075.49
  6. Step 6: Final answer
    x = 516.71

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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.