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Finding the Fourth Proportional to 1,074.87, 1,482.71 and 681.62

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Solution

The fourth proportional to 1,074.87, 1,482.71 and 681.62 is: 940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.87 : 1,482.71 = 681.62 : x
  2. Step 2: Convert to fraction form
    1,074.87/1,482.71 = 681.62/x
  3. Step 3: Cross multiply
    1,074.87x = 1,482.71 × 681.62
  4. Step 4: Simplify right side
    1,074.87x = 1,010,633.97
  5. Step 5: Solve for x
    x = 1,010,633.97/1,074.87
  6. Step 6: Final answer
    x = 940.24

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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.