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Finding the Fourth Proportional to 1,063.98, 1,596.57 and 447.63

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Solution

The fourth proportional to 1,063.98, 1,596.57 and 447.63 is: 671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.98 : 1,596.57 = 447.63 : x
  2. Step 2: Convert to fraction form
    1,063.98/1,596.57 = 447.63/x
  3. Step 3: Cross multiply
    1,063.98x = 1,596.57 × 447.63
  4. Step 4: Simplify right side
    1,063.98x = 714,672.63
  5. Step 5: Solve for x
    x = 714,672.63/1,063.98
  6. Step 6: Final answer
    x = 671.70

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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.