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Finding the Fourth Proportional to 1,218.37, 1,824.44 and 669.95

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Solution

The fourth proportional to 1,218.37, 1,824.44 and 669.95 is: 1,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.37 : 1,824.44 = 669.95 : x
  2. Step 2: Convert to fraction form
    1,218.37/1,824.44 = 669.95/x
  3. Step 3: Cross multiply
    1,218.37x = 1,824.44 × 669.95
  4. Step 4: Simplify right side
    1,218.37x = 1,222,289.81
  5. Step 5: Solve for x
    x = 1,222,289.81/1,218.37
  6. Step 6: Final answer
    x = 1,003.22

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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.