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Finding the Fourth Proportional to 1,199.06, 1,654.66 and 667.93

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Solution

The fourth proportional to 1,199.06, 1,654.66 and 667.93 is: 921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.06 : 1,654.66 = 667.93 : x
  2. Step 2: Convert to fraction form
    1,199.06/1,654.66 = 667.93/x
  3. Step 3: Cross multiply
    1,199.06x = 1,654.66 × 667.93
  4. Step 4: Simplify right side
    1,199.06x = 1,105,185.44
  5. Step 5: Solve for x
    x = 1,105,185.44/1,199.06
  6. Step 6: Final answer
    x = 921.71

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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.