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Finding the Fourth Proportional to 1,216.44, 1,823.45 and 599.22

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Solution

The fourth proportional to 1,216.44, 1,823.45 and 599.22 is: 898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.44 : 1,823.45 = 599.22 : x
  2. Step 2: Convert to fraction form
    1,216.44/1,823.45 = 599.22/x
  3. Step 3: Cross multiply
    1,216.44x = 1,823.45 × 599.22
  4. Step 4: Simplify right side
    1,216.44x = 1,092,644.71
  5. Step 5: Solve for x
    x = 1,092,644.71/1,216.44
  6. Step 6: Final answer
    x = 898.23

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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.