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Finding the Fourth Proportional to 899.76, 1,247.52 and 884.64

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Solution

The fourth proportional to 899.76, 1,247.52 and 884.64 is: 1,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.76 : 1,247.52 = 884.64 : x
  2. Step 2: Convert to fraction form
    899.76/1,247.52 = 884.64/x
  3. Step 3: Cross multiply
    899.76x = 1,247.52 × 884.64
  4. Step 4: Simplify right side
    899.76x = 1,103,606.09
  5. Step 5: Solve for x
    x = 1,103,606.09/899.76
  6. Step 6: Final answer
    x = 1,226.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.