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Finding the Fourth Proportional to 1,705.74, 2,556.99 and 666.41

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Solution

The fourth proportional to 1,705.74, 2,556.99 and 666.41 is: 998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.74 : 2,556.99 = 666.41 : x
  2. Step 2: Convert to fraction form
    1,705.74/2,556.99 = 666.41/x
  3. Step 3: Cross multiply
    1,705.74x = 2,556.99 × 666.41
  4. Step 4: Simplify right side
    1,705.74x = 1,703,990.92
  5. Step 5: Solve for x
    x = 1,703,990.92/1,705.74
  6. Step 6: Final answer
    x = 998.97

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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.