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Finding the Fourth Proportional to 1,111.73, 1,532.87 and 845.49

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Solution

The fourth proportional to 1,111.73, 1,532.87 and 845.49 is: 1,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.73 : 1,532.87 = 845.49 : x
  2. Step 2: Convert to fraction form
    1,111.73/1,532.87 = 845.49/x
  3. Step 3: Cross multiply
    1,111.73x = 1,532.87 × 845.49
  4. Step 4: Simplify right side
    1,111.73x = 1,296,027.08
  5. Step 5: Solve for x
    x = 1,296,027.08/1,111.73
  6. Step 6: Final answer
    x = 1,165.78

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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.