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Finding the Fourth Proportional to 1,110.67, 1,664.53 and 849.72

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Solution

The fourth proportional to 1,110.67, 1,664.53 and 849.72 is: 1,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.67 : 1,664.53 = 849.72 : x
  2. Step 2: Convert to fraction form
    1,110.67/1,664.53 = 849.72/x
  3. Step 3: Cross multiply
    1,110.67x = 1,664.53 × 849.72
  4. Step 4: Simplify right side
    1,110.67x = 1,414,384.43
  5. Step 5: Solve for x
    x = 1,414,384.43/1,110.67
  6. Step 6: Final answer
    x = 1,273.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.