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Finding the Fourth Proportional to 998.51, 1,497.87 and 633.56

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Solution

The fourth proportional to 998.51, 1,497.87 and 633.56 is: 950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.51 : 1,497.87 = 633.56 : x
  2. Step 2: Convert to fraction form
    998.51/1,497.87 = 633.56/x
  3. Step 3: Cross multiply
    998.51x = 1,497.87 × 633.56
  4. Step 4: Simplify right side
    998.51x = 948,983.03
  5. Step 5: Solve for x
    x = 948,983.03/998.51
  6. Step 6: Final answer
    x = 950.40

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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.