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Finding the Fourth Proportional to 833.26, 1,247.66 and 467.02

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Solution

The fourth proportional to 833.26, 1,247.66 and 467.02 is: 699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.26 : 1,247.66 = 467.02 : x
  2. Step 2: Convert to fraction form
    833.26/1,247.66 = 467.02/x
  3. Step 3: Cross multiply
    833.26x = 1,247.66 × 467.02
  4. Step 4: Simplify right side
    833.26x = 582,682.17
  5. Step 5: Solve for x
    x = 582,682.17/833.26
  6. Step 6: Final answer
    x = 699.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.