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Finding the Fourth Proportional to 1,216.53, 1,824.54 and 436.58

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Solution

The fourth proportional to 1,216.53, 1,824.54 and 436.58 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.53 : 1,824.54 = 436.58 : x
  2. Step 2: Convert to fraction form
    1,216.53/1,824.54 = 436.58/x
  3. Step 3: Cross multiply
    1,216.53x = 1,824.54 × 436.58
  4. Step 4: Simplify right side
    1,216.53x = 796,548.55
  5. Step 5: Solve for x
    x = 796,548.55/1,216.53
  6. Step 6: Final answer
    x = 654.77

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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.