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Finding the Fourth Proportional to 1,367.66, 2,048.43 and 636.14

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Solution

The fourth proportional to 1,367.66, 2,048.43 and 636.14 is: 952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.66 : 2,048.43 = 636.14 : x
  2. Step 2: Convert to fraction form
    1,367.66/2,048.43 = 636.14/x
  3. Step 3: Cross multiply
    1,367.66x = 2,048.43 × 636.14
  4. Step 4: Simplify right side
    1,367.66x = 1,303,088.26
  5. Step 5: Solve for x
    x = 1,303,088.26/1,367.66
  6. Step 6: Final answer
    x = 952.79

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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.