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Finding the Fourth Proportional to 1,326.05, 1,989.79 and 779.30

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Solution

The fourth proportional to 1,326.05, 1,989.79 and 779.30 is: 1,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.05 : 1,989.79 = 779.30 : x
  2. Step 2: Convert to fraction form
    1,326.05/1,989.79 = 779.30/x
  3. Step 3: Cross multiply
    1,326.05x = 1,989.79 × 779.30
  4. Step 4: Simplify right side
    1,326.05x = 1,550,643.35
  5. Step 5: Solve for x
    x = 1,550,643.35/1,326.05
  6. Step 6: Final answer
    x = 1,169.37

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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.