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Finding the Fourth Proportional to 1,705.13, 2,556.15 and 664.49

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Solution

The fourth proportional to 1,705.13, 2,556.15 and 664.49 is: 996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.13 : 2,556.15 = 664.49 : x
  2. Step 2: Convert to fraction form
    1,705.13/2,556.15 = 664.49/x
  3. Step 3: Cross multiply
    1,705.13x = 2,556.15 × 664.49
  4. Step 4: Simplify right side
    1,705.13x = 1,698,536.11
  5. Step 5: Solve for x
    x = 1,698,536.11/1,705.13
  6. Step 6: Final answer
    x = 996.13

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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.