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Finding the Fourth Proportional to 1,172.26, 1,617.56 and 995.93

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Solution

The fourth proportional to 1,172.26, 1,617.56 and 995.93 is: 1,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.26 : 1,617.56 = 995.93 : x
  2. Step 2: Convert to fraction form
    1,172.26/1,617.56 = 995.93/x
  3. Step 3: Cross multiply
    1,172.26x = 1,617.56 × 995.93
  4. Step 4: Simplify right side
    1,172.26x = 1,610,976.53
  5. Step 5: Solve for x
    x = 1,610,976.53/1,172.26
  6. Step 6: Final answer
    x = 1,374.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.