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Finding the Fourth Proportional to 1,199.30, 1,654.74 and 726.84

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Solution

The fourth proportional to 1,199.30, 1,654.74 and 726.84 is: 1,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.30 : 1,654.74 = 726.84 : x
  2. Step 2: Convert to fraction form
    1,199.30/1,654.74 = 726.84/x
  3. Step 3: Cross multiply
    1,199.30x = 1,654.74 × 726.84
  4. Step 4: Simplify right side
    1,199.30x = 1,202,731.22
  5. Step 5: Solve for x
    x = 1,202,731.22/1,199.30
  6. Step 6: Final answer
    x = 1,002.87

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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.