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Finding the Fourth Proportional to 884.52, 1,225.53 and 865.08

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Solution

The fourth proportional to 884.52, 1,225.53 and 865.08 is: 1,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.52 : 1,225.53 = 865.08 : x
  2. Step 2: Convert to fraction form
    884.52/1,225.53 = 865.08/x
  3. Step 3: Cross multiply
    884.52x = 1,225.53 × 865.08
  4. Step 4: Simplify right side
    884.52x = 1,060,181.49
  5. Step 5: Solve for x
    x = 1,060,181.49/884.52
  6. Step 6: Final answer
    x = 1,198.60

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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.