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Finding the Fourth Proportional to 1,063.67, 1,596.24 and 447.93

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Solution

The fourth proportional to 1,063.67, 1,596.24 and 447.93 is: 672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.67 : 1,596.24 = 447.93 : x
  2. Step 2: Convert to fraction form
    1,063.67/1,596.24 = 447.93/x
  3. Step 3: Cross multiply
    1,063.67x = 1,596.24 × 447.93
  4. Step 4: Simplify right side
    1,063.67x = 715,003.78
  5. Step 5: Solve for x
    x = 715,003.78/1,063.67
  6. Step 6: Final answer
    x = 672.21

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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.