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Finding the Fourth Proportional to 998.91, 1,494.71 and 588.24

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Solution

The fourth proportional to 998.91, 1,494.71 and 588.24 is: 880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.91 : 1,494.71 = 588.24 : x
  2. Step 2: Convert to fraction form
    998.91/1,494.71 = 588.24/x
  3. Step 3: Cross multiply
    998.91x = 1,494.71 × 588.24
  4. Step 4: Simplify right side
    998.91x = 879,248.21
  5. Step 5: Solve for x
    x = 879,248.21/998.91
  6. Step 6: Final answer
    x = 880.21

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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.