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Finding the Fourth Proportional to 1,199.67, 1,654.86 and 849.75

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Solution

The fourth proportional to 1,199.67, 1,654.86 and 849.75 is: 1,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.67 : 1,654.86 = 849.75 : x
  2. Step 2: Convert to fraction form
    1,199.67/1,654.86 = 849.75/x
  3. Step 3: Cross multiply
    1,199.67x = 1,654.86 × 849.75
  4. Step 4: Simplify right side
    1,199.67x = 1,406,217.29
  5. Step 5: Solve for x
    x = 1,406,217.29/1,199.67
  6. Step 6: Final answer
    x = 1,172.17

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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.