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Finding the Fourth Proportional to 1,304.01, 1,799.49 and 744.51

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Solution

The fourth proportional to 1,304.01, 1,799.49 and 744.51 is: 1,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.01 : 1,799.49 = 744.51 : x
  2. Step 2: Convert to fraction form
    1,304.01/1,799.49 = 744.51/x
  3. Step 3: Cross multiply
    1,304.01x = 1,799.49 × 744.51
  4. Step 4: Simplify right side
    1,304.01x = 1,339,738.30
  5. Step 5: Solve for x
    x = 1,339,738.30/1,304.01
  6. Step 6: Final answer
    x = 1,027.40

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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.