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Finding the Fourth Proportional to 1,069.25, 1,476.78 and 719.33

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Solution

The fourth proportional to 1,069.25, 1,476.78 and 719.33 is: 993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.25 : 1,476.78 = 719.33 : x
  2. Step 2: Convert to fraction form
    1,069.25/1,476.78 = 719.33/x
  3. Step 3: Cross multiply
    1,069.25x = 1,476.78 × 719.33
  4. Step 4: Simplify right side
    1,069.25x = 1,062,292.16
  5. Step 5: Solve for x
    x = 1,062,292.16/1,069.25
  6. Step 6: Final answer
    x = 993.49

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