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Finding the Fourth Proportional to 1,299.99, 1,794.38 and 776.33

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Solution

The fourth proportional to 1,299.99, 1,794.38 and 776.33 is: 1,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.99 : 1,794.38 = 776.33 : x
  2. Step 2: Convert to fraction form
    1,299.99/1,794.38 = 776.33/x
  3. Step 3: Cross multiply
    1,299.99x = 1,794.38 × 776.33
  4. Step 4: Simplify right side
    1,299.99x = 1,393,018.17
  5. Step 5: Solve for x
    x = 1,393,018.17/1,299.99
  6. Step 6: Final answer
    x = 1,071.56

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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.