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Finding the Fourth Proportional to 833.50, 1,150.26 and 460.50

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Solution

The fourth proportional to 833.50, 1,150.26 and 460.50 is: 635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.50 : 1,150.26 = 460.50 : x
  2. Step 2: Convert to fraction form
    833.50/1,150.26 = 460.50/x
  3. Step 3: Cross multiply
    833.50x = 1,150.26 × 460.50
  4. Step 4: Simplify right side
    833.50x = 529,694.73
  5. Step 5: Solve for x
    x = 529,694.73/833.50
  6. Step 6: Final answer
    x = 635.51

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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.