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Finding the Fourth Proportional to 1,231.56, 1,847.94 and 582.12

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Solution

The fourth proportional to 1,231.56, 1,847.94 and 582.12 is: 873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.56 : 1,847.94 = 582.12 : x
  2. Step 2: Convert to fraction form
    1,231.56/1,847.94 = 582.12/x
  3. Step 3: Cross multiply
    1,231.56x = 1,847.94 × 582.12
  4. Step 4: Simplify right side
    1,231.56x = 1,075,722.83
  5. Step 5: Solve for x
    x = 1,075,722.83/1,231.56
  6. Step 6: Final answer
    x = 873.46

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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.