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Finding the Fourth Proportional to 1,186.24, 1,778 and 455.44

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Solution

The fourth proportional to 1,186.24, 1,778 and 455.44 is: 682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.24 : 1,778 = 455.44 : x
  2. Step 2: Convert to fraction form
    1,186.24/1,778 = 455.44/x
  3. Step 3: Cross multiply
    1,186.24x = 1,778 × 455.44
  4. Step 4: Simplify right side
    1,186.24x = 809,772.32
  5. Step 5: Solve for x
    x = 809,772.32/1,186.24
  6. Step 6: Final answer
    x = 682.64

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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.