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Finding the Fourth Proportional to 995.50, 1,374.60 and 716.32

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Solution

The fourth proportional to 995.50, 1,374.60 and 716.32 is: 989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.50 : 1,374.60 = 716.32 : x
  2. Step 2: Convert to fraction form
    995.50/1,374.60 = 716.32/x
  3. Step 3: Cross multiply
    995.50x = 1,374.60 × 716.32
  4. Step 4: Simplify right side
    995.50x = 984,653.47
  5. Step 5: Solve for x
    x = 984,653.47/995.50
  6. Step 6: Final answer
    x = 989.10

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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.