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Finding the Fourth Proportional to 1,383.69, 2,075.97 and 562.41

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Solution

The fourth proportional to 1,383.69, 2,075.97 and 562.41 is: 843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.69 : 2,075.97 = 562.41 : x
  2. Step 2: Convert to fraction form
    1,383.69/2,075.97 = 562.41/x
  3. Step 3: Cross multiply
    1,383.69x = 2,075.97 × 562.41
  4. Step 4: Simplify right side
    1,383.69x = 1,167,546.29
  5. Step 5: Solve for x
    x = 1,167,546.29/1,383.69
  6. Step 6: Final answer
    x = 843.79

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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.