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Finding the Fourth Proportional to 1,679.14, 2,519.93 and 705.88

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Solution

The fourth proportional to 1,679.14, 2,519.93 and 705.88 is: 1,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.14 : 2,519.93 = 705.88 : x
  2. Step 2: Convert to fraction form
    1,679.14/2,519.93 = 705.88/x
  3. Step 3: Cross multiply
    1,679.14x = 2,519.93 × 705.88
  4. Step 4: Simplify right side
    1,679.14x = 1,778,768.19
  5. Step 5: Solve for x
    x = 1,778,768.19/1,679.14
  6. Step 6: Final answer
    x = 1,059.33

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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.