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Finding the Fourth Proportional to 1,216.99, 1,825.74 and 395.31

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Solution

The fourth proportional to 1,216.99, 1,825.74 and 395.31 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.99 : 1,825.74 = 395.31 : x
  2. Step 2: Convert to fraction form
    1,216.99/1,825.74 = 395.31/x
  3. Step 3: Cross multiply
    1,216.99x = 1,825.74 × 395.31
  4. Step 4: Simplify right side
    1,216.99x = 721,740.13
  5. Step 5: Solve for x
    x = 721,740.13/1,216.99
  6. Step 6: Final answer
    x = 593.05

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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.