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Finding the Fourth Proportional to 1,344.75, 2,016.75 and 467.22

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Solution

The fourth proportional to 1,344.75, 2,016.75 and 467.22 is: 700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.75 : 2,016.75 = 467.22 : x
  2. Step 2: Convert to fraction form
    1,344.75/2,016.75 = 467.22/x
  3. Step 3: Cross multiply
    1,344.75x = 2,016.75 × 467.22
  4. Step 4: Simplify right side
    1,344.75x = 942,261.28
  5. Step 5: Solve for x
    x = 942,261.28/1,344.75
  6. Step 6: Final answer
    x = 700.70

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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.