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Finding the Fourth Proportional to 1,304.16, 1,799.57 and 744.60

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Solution

The fourth proportional to 1,304.16, 1,799.57 and 744.60 is: 1,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.16 : 1,799.57 = 744.60 : x
  2. Step 2: Convert to fraction form
    1,304.16/1,799.57 = 744.60/x
  3. Step 3: Cross multiply
    1,304.16x = 1,799.57 × 744.60
  4. Step 4: Simplify right side
    1,304.16x = 1,339,954.94
  5. Step 5: Solve for x
    x = 1,339,954.94/1,304.16
  6. Step 6: Final answer
    x = 1,027.44

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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.