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Finding the Fourth Proportional to 1,063.97, 1,594.76 and 447.49

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Solution

The fourth proportional to 1,063.97, 1,594.76 and 447.49 is: 670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.97 : 1,594.76 = 447.49 : x
  2. Step 2: Convert to fraction form
    1,063.97/1,594.76 = 447.49/x
  3. Step 3: Cross multiply
    1,063.97x = 1,594.76 × 447.49
  4. Step 4: Simplify right side
    1,063.97x = 713,631.18
  5. Step 5: Solve for x
    x = 713,631.18/1,063.97
  6. Step 6: Final answer
    x = 670.73

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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.