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Finding the Fourth Proportional to 884.44, 1,222.88 and 775.12

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Solution

The fourth proportional to 884.44, 1,222.88 and 775.12 is: 1,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.44 : 1,222.88 = 775.12 : x
  2. Step 2: Convert to fraction form
    884.44/1,222.88 = 775.12/x
  3. Step 3: Cross multiply
    884.44x = 1,222.88 × 775.12
  4. Step 4: Simplify right side
    884.44x = 947,878.75
  5. Step 5: Solve for x
    x = 947,878.75/884.44
  6. Step 6: Final answer
    x = 1,071.73

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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.