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Finding the Fourth Proportional to 833.56, 1,150.86 and 638.08

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Solution

The fourth proportional to 833.56, 1,150.86 and 638.08 is: 880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,150.86 = 638.08 : x
  2. Step 2: Convert to fraction form
    833.56/1,150.86 = 638.08/x
  3. Step 3: Cross multiply
    833.56x = 1,150.86 × 638.08
  4. Step 4: Simplify right side
    833.56x = 734,340.75
  5. Step 5: Solve for x
    x = 734,340.75/833.56
  6. Step 6: Final answer
    x = 880.97

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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.