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Finding the Fourth Proportional to 1,231.88, 1,847.50 and 582.60

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Solution

The fourth proportional to 1,231.88, 1,847.50 and 582.60 is: 873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.88 : 1,847.50 = 582.60 : x
  2. Step 2: Convert to fraction form
    1,231.88/1,847.50 = 582.60/x
  3. Step 3: Cross multiply
    1,231.88x = 1,847.50 × 582.60
  4. Step 4: Simplify right side
    1,231.88x = 1,076,353.50
  5. Step 5: Solve for x
    x = 1,076,353.50/1,231.88
  6. Step 6: Final answer
    x = 873.75

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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.