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Finding the Fourth Proportional to 995.12, 1,482.32 and 959.48

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Solution

The fourth proportional to 995.12, 1,482.32 and 959.48 is: 1,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.12 : 1,482.32 = 959.48 : x
  2. Step 2: Convert to fraction form
    995.12/1,482.32 = 959.48/x
  3. Step 3: Cross multiply
    995.12x = 1,482.32 × 959.48
  4. Step 4: Simplify right side
    995.12x = 1,422,256.39
  5. Step 5: Solve for x
    x = 1,422,256.39/995.12
  6. Step 6: Final answer
    x = 1,429.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.