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Finding the Fourth Proportional to 1,107.71, 1,653.63 and 1,069.28

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Solution

The fourth proportional to 1,107.71, 1,653.63 and 1,069.28 is: 1,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.71 : 1,653.63 = 1,069.28 : x
  2. Step 2: Convert to fraction form
    1,107.71/1,653.63 = 1,069.28/x
  3. Step 3: Cross multiply
    1,107.71x = 1,653.63 × 1,069.28
  4. Step 4: Simplify right side
    1,107.71x = 1,768,185.22
  5. Step 5: Solve for x
    x = 1,768,185.22/1,107.71
  6. Step 6: Final answer
    x = 1,596.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.