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Finding the Fourth Proportional to 1,188.20, 1,782.44 and 418.52

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Solution

The fourth proportional to 1,188.20, 1,782.44 and 418.52 is: 627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.20 : 1,782.44 = 418.52 : x
  2. Step 2: Convert to fraction form
    1,188.20/1,782.44 = 418.52/x
  3. Step 3: Cross multiply
    1,188.20x = 1,782.44 × 418.52
  4. Step 4: Simplify right side
    1,188.20x = 745,986.79
  5. Step 5: Solve for x
    x = 745,986.79/1,188.20
  6. Step 6: Final answer
    x = 627.83

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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.