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Finding the Fourth Proportional to 1,208.68, 1,657.37 and 1,197.16

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Solution

The fourth proportional to 1,208.68, 1,657.37 and 1,197.16 is: 1,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.68 : 1,657.37 = 1,197.16 : x
  2. Step 2: Convert to fraction form
    1,208.68/1,657.37 = 1,197.16/x
  3. Step 3: Cross multiply
    1,208.68x = 1,657.37 × 1,197.16
  4. Step 4: Simplify right side
    1,208.68x = 1,984,137.07
  5. Step 5: Solve for x
    x = 1,984,137.07/1,208.68
  6. Step 6: Final answer
    x = 1,641.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.