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Finding the Fourth Proportional to 998.50, 1,496.09 and 705.52

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Solution

The fourth proportional to 998.50, 1,496.09 and 705.52 is: 1,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.50 : 1,496.09 = 705.52 : x
  2. Step 2: Convert to fraction form
    998.50/1,496.09 = 705.52/x
  3. Step 3: Cross multiply
    998.50x = 1,496.09 × 705.52
  4. Step 4: Simplify right side
    998.50x = 1,055,521.42
  5. Step 5: Solve for x
    x = 1,055,521.42/998.50
  6. Step 6: Final answer
    x = 1,057.11

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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.