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Finding the Fourth Proportional to 1,216.31, 1,824.08 and 446.63

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Solution

The fourth proportional to 1,216.31, 1,824.08 and 446.63 is: 669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.31 : 1,824.08 = 446.63 : x
  2. Step 2: Convert to fraction form
    1,216.31/1,824.08 = 446.63/x
  3. Step 3: Cross multiply
    1,216.31x = 1,824.08 × 446.63
  4. Step 4: Simplify right side
    1,216.31x = 814,677.50
  5. Step 5: Solve for x
    x = 814,677.50/1,216.31
  6. Step 6: Final answer
    x = 669.80

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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.