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Finding the Fourth Proportional to 998.16, 1,497.41 and 587.07

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Solution

The fourth proportional to 998.16, 1,497.41 and 587.07 is: 880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,497.41 = 587.07 : x
  2. Step 2: Convert to fraction form
    998.16/1,497.41 = 587.07/x
  3. Step 3: Cross multiply
    998.16x = 1,497.41 × 587.07
  4. Step 4: Simplify right side
    998.16x = 879,089.62
  5. Step 5: Solve for x
    x = 879,089.62/998.16
  6. Step 6: Final answer
    x = 880.71

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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.