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Finding the Fourth Proportional to 1,227.45, 1,693.74 and 729.99

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Solution

The fourth proportional to 1,227.45, 1,693.74 and 729.99 is: 1,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.45 : 1,693.74 = 729.99 : x
  2. Step 2: Convert to fraction form
    1,227.45/1,693.74 = 729.99/x
  3. Step 3: Cross multiply
    1,227.45x = 1,693.74 × 729.99
  4. Step 4: Simplify right side
    1,227.45x = 1,236,413.26
  5. Step 5: Solve for x
    x = 1,236,413.26/1,227.45
  6. Step 6: Final answer
    x = 1,007.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.