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Finding the Fourth Proportional to 1,206.09, 1,664.48 and 675.03

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Solution

The fourth proportional to 1,206.09, 1,664.48 and 675.03 is: 931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.09 : 1,664.48 = 675.03 : x
  2. Step 2: Convert to fraction form
    1,206.09/1,664.48 = 675.03/x
  3. Step 3: Cross multiply
    1,206.09x = 1,664.48 × 675.03
  4. Step 4: Simplify right side
    1,206.09x = 1,123,573.39
  5. Step 5: Solve for x
    x = 1,123,573.39/1,206.09
  6. Step 6: Final answer
    x = 931.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.