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Finding the Fourth Proportional to 1,344.60, 2,016.12 and 419.88

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Solution

The fourth proportional to 1,344.60, 2,016.12 and 419.88 is: 629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.60 : 2,016.12 = 419.88 : x
  2. Step 2: Convert to fraction form
    1,344.60/2,016.12 = 419.88/x
  3. Step 3: Cross multiply
    1,344.60x = 2,016.12 × 419.88
  4. Step 4: Simplify right side
    1,344.60x = 846,528.47
  5. Step 5: Solve for x
    x = 846,528.47/1,344.60
  6. Step 6: Final answer
    x = 629.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.