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Finding the Fourth Proportional to 886.06, 1,222.74 and 512.80

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Solution

The fourth proportional to 886.06, 1,222.74 and 512.80 is: 707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.06 : 1,222.74 = 512.80 : x
  2. Step 2: Convert to fraction form
    886.06/1,222.74 = 512.80/x
  3. Step 3: Cross multiply
    886.06x = 1,222.74 × 512.80
  4. Step 4: Simplify right side
    886.06x = 627,021.07
  5. Step 5: Solve for x
    x = 627,021.07/886.06
  6. Step 6: Final answer
    x = 707.65

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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.