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Finding the Fourth Proportional to 1,216.58, 1,824.64 and 436.56

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Solution

The fourth proportional to 1,216.58, 1,824.64 and 436.56 is: 654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.58 : 1,824.64 = 436.56 : x
  2. Step 2: Convert to fraction form
    1,216.58/1,824.64 = 436.56/x
  3. Step 3: Cross multiply
    1,216.58x = 1,824.64 × 436.56
  4. Step 4: Simplify right side
    1,216.58x = 796,564.84
  5. Step 5: Solve for x
    x = 796,564.84/1,216.58
  6. Step 6: Final answer
    x = 654.76

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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.