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Finding the Fourth Proportional to 1,284.33, 1,772.68 and 1,074.15

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Solution

The fourth proportional to 1,284.33, 1,772.68 and 1,074.15 is: 1,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.33 : 1,772.68 = 1,074.15 : x
  2. Step 2: Convert to fraction form
    1,284.33/1,772.68 = 1,074.15/x
  3. Step 3: Cross multiply
    1,284.33x = 1,772.68 × 1,074.15
  4. Step 4: Simplify right side
    1,284.33x = 1,904,121.54
  5. Step 5: Solve for x
    x = 1,904,121.54/1,284.33
  6. Step 6: Final answer
    x = 1,482.58

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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.