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Finding the Fourth Proportional to 1,216.96, 1,825.44 and 395.30

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Solution

The fourth proportional to 1,216.96, 1,825.44 and 395.30 is: 592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.96 : 1,825.44 = 395.30 : x
  2. Step 2: Convert to fraction form
    1,216.96/1,825.44 = 395.30/x
  3. Step 3: Cross multiply
    1,216.96x = 1,825.44 × 395.30
  4. Step 4: Simplify right side
    1,216.96x = 721,596.43
  5. Step 5: Solve for x
    x = 721,596.43/1,216.96
  6. Step 6: Final answer
    x = 592.95

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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.