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Finding the Fourth Proportional to 998.79, 1,498.30 and 383.02

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Solution

The fourth proportional to 998.79, 1,498.30 and 383.02 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.79 : 1,498.30 = 383.02 : x
  2. Step 2: Convert to fraction form
    998.79/1,498.30 = 383.02/x
  3. Step 3: Cross multiply
    998.79x = 1,498.30 × 383.02
  4. Step 4: Simplify right side
    998.79x = 573,878.87
  5. Step 5: Solve for x
    x = 573,878.87/998.79
  6. Step 6: Final answer
    x = 574.57

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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.