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Finding the Fourth Proportional to 1,326.06, 1,984.44 and 1,065.42

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Solution

The fourth proportional to 1,326.06, 1,984.44 and 1,065.42 is: 1,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.06 : 1,984.44 = 1,065.42 : x
  2. Step 2: Convert to fraction form
    1,326.06/1,984.44 = 1,065.42/x
  3. Step 3: Cross multiply
    1,326.06x = 1,984.44 × 1,065.42
  4. Step 4: Simplify right side
    1,326.06x = 2,114,262.06
  5. Step 5: Solve for x
    x = 2,114,262.06/1,326.06
  6. Step 6: Final answer
    x = 1,594.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.