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Finding the Fourth Proportional to 833.06, 1,247.99 and 466.74

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Solution

The fourth proportional to 833.06, 1,247.99 and 466.74 is: 699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,247.99 = 466.74 : x
  2. Step 2: Convert to fraction form
    833.06/1,247.99 = 466.74/x
  3. Step 3: Cross multiply
    833.06x = 1,247.99 × 466.74
  4. Step 4: Simplify right side
    833.06x = 582,486.85
  5. Step 5: Solve for x
    x = 582,486.85/833.06
  6. Step 6: Final answer
    x = 699.21

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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.