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Finding the Fourth Proportional to 833.56, 1,150.22 and 460.53

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Solution

The fourth proportional to 833.56, 1,150.22 and 460.53 is: 635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,150.22 = 460.53 : x
  2. Step 2: Convert to fraction form
    833.56/1,150.22 = 460.53/x
  3. Step 3: Cross multiply
    833.56x = 1,150.22 × 460.53
  4. Step 4: Simplify right side
    833.56x = 529,711.97
  5. Step 5: Solve for x
    x = 529,711.97/833.56
  6. Step 6: Final answer
    x = 635.48

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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.