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Finding the Fourth Proportional to 995.35, 1,485.87 and 923.26

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Solution

The fourth proportional to 995.35, 1,485.87 and 923.26 is: 1,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.35 : 1,485.87 = 923.26 : x
  2. Step 2: Convert to fraction form
    995.35/1,485.87 = 923.26/x
  3. Step 3: Cross multiply
    995.35x = 1,485.87 × 923.26
  4. Step 4: Simplify right side
    995.35x = 1,371,844.34
  5. Step 5: Solve for x
    x = 1,371,844.34/995.35
  6. Step 6: Final answer
    x = 1,378.25

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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.