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Finding the Fourth Proportional to 998.73, 1,497.63 and 305.22

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Solution

The fourth proportional to 998.73, 1,497.63 and 305.22 is: 457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.73 : 1,497.63 = 305.22 : x
  2. Step 2: Convert to fraction form
    998.73/1,497.63 = 305.22/x
  3. Step 3: Cross multiply
    998.73x = 1,497.63 × 305.22
  4. Step 4: Simplify right side
    998.73x = 457,106.63
  5. Step 5: Solve for x
    x = 457,106.63/998.73
  6. Step 6: Final answer
    x = 457.69

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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.