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Finding the Fourth Proportional to 998.07, 1,497.10 and 314.07

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Solution

The fourth proportional to 998.07, 1,497.10 and 314.07 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.07 : 1,497.10 = 314.07 : x
  2. Step 2: Convert to fraction form
    998.07/1,497.10 = 314.07/x
  3. Step 3: Cross multiply
    998.07x = 1,497.10 × 314.07
  4. Step 4: Simplify right side
    998.07x = 470,185.14
  5. Step 5: Solve for x
    x = 470,185.14/998.07
  6. Step 6: Final answer
    x = 471.10

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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.