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Finding the Fourth Proportional to 998.14, 1,497.48 and 511.60

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Solution

The fourth proportional to 998.14, 1,497.48 and 511.60 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.14 : 1,497.48 = 511.60 : x
  2. Step 2: Convert to fraction form
    998.14/1,497.48 = 511.60/x
  3. Step 3: Cross multiply
    998.14x = 1,497.48 × 511.60
  4. Step 4: Simplify right side
    998.14x = 766,110.77
  5. Step 5: Solve for x
    x = 766,110.77/998.14
  6. Step 6: Final answer
    x = 767.54

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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.