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Finding the Fourth Proportional to 1,112.07, 1,533.72 and 832.97

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Solution

The fourth proportional to 1,112.07, 1,533.72 and 832.97 is: 1,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.07 : 1,533.72 = 832.97 : x
  2. Step 2: Convert to fraction form
    1,112.07/1,533.72 = 832.97/x
  3. Step 3: Cross multiply
    1,112.07x = 1,533.72 × 832.97
  4. Step 4: Simplify right side
    1,112.07x = 1,277,535.08
  5. Step 5: Solve for x
    x = 1,277,535.08/1,112.07
  6. Step 6: Final answer
    x = 1,148.79

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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.