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Finding the Fourth Proportional to 1,668.62, 2,503.91 and 694.71

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Solution

The fourth proportional to 1,668.62, 2,503.91 and 694.71 is: 1,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.62 : 2,503.91 = 694.71 : x
  2. Step 2: Convert to fraction form
    1,668.62/2,503.91 = 694.71/x
  3. Step 3: Cross multiply
    1,668.62x = 2,503.91 × 694.71
  4. Step 4: Simplify right side
    1,668.62x = 1,739,487.84
  5. Step 5: Solve for x
    x = 1,739,487.84/1,668.62
  6. Step 6: Final answer
    x = 1,042.47

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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.