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Finding the Fourth Proportional to 1,179.05, 1,768.64 and 448.61

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Solution

The fourth proportional to 1,179.05, 1,768.64 and 448.61 is: 672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.05 : 1,768.64 = 448.61 : x
  2. Step 2: Convert to fraction form
    1,179.05/1,768.64 = 448.61/x
  3. Step 3: Cross multiply
    1,179.05x = 1,768.64 × 448.61
  4. Step 4: Simplify right side
    1,179.05x = 793,418.50
  5. Step 5: Solve for x
    x = 793,418.50/1,179.05
  6. Step 6: Final answer
    x = 672.93

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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.