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Finding the Fourth Proportional to 998.49, 1,498.01 and 536.07

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Solution

The fourth proportional to 998.49, 1,498.01 and 536.07 is: 804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.49 : 1,498.01 = 536.07 : x
  2. Step 2: Convert to fraction form
    998.49/1,498.01 = 536.07/x
  3. Step 3: Cross multiply
    998.49x = 1,498.01 × 536.07
  4. Step 4: Simplify right side
    998.49x = 803,035.54
  5. Step 5: Solve for x
    x = 803,035.54/998.49
  6. Step 6: Final answer
    x = 804.25

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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.