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Finding the Fourth Proportional to 1,216.82, 1,825.52 and 395.10

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Solution

The fourth proportional to 1,216.82, 1,825.52 and 395.10 is: 592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.82 : 1,825.52 = 395.10 : x
  2. Step 2: Convert to fraction form
    1,216.82/1,825.52 = 395.10/x
  3. Step 3: Cross multiply
    1,216.82x = 1,825.52 × 395.10
  4. Step 4: Simplify right side
    1,216.82x = 721,262.95
  5. Step 5: Solve for x
    x = 721,262.95/1,216.82
  6. Step 6: Final answer
    x = 592.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.