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Finding the Fourth Proportional to 1,231.42, 1,847.88 and 712.44

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Solution

The fourth proportional to 1,231.42, 1,847.88 and 712.44 is: 1,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.42 : 1,847.88 = 712.44 : x
  2. Step 2: Convert to fraction form
    1,231.42/1,847.88 = 712.44/x
  3. Step 3: Cross multiply
    1,231.42x = 1,847.88 × 712.44
  4. Step 4: Simplify right side
    1,231.42x = 1,316,503.63
  5. Step 5: Solve for x
    x = 1,316,503.63/1,231.42
  6. Step 6: Final answer
    x = 1,069.09

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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.