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Finding the Fourth Proportional to 1,284.66, 1,769.04 and 1,074.47

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Solution

The fourth proportional to 1,284.66, 1,769.04 and 1,074.47 is: 1,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.66 : 1,769.04 = 1,074.47 : x
  2. Step 2: Convert to fraction form
    1,284.66/1,769.04 = 1,074.47/x
  3. Step 3: Cross multiply
    1,284.66x = 1,769.04 × 1,074.47
  4. Step 4: Simplify right side
    1,284.66x = 1,900,771.56
  5. Step 5: Solve for x
    x = 1,900,771.56/1,284.66
  6. Step 6: Final answer
    x = 1,479.59

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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.