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Finding the Fourth Proportional to 995.34, 1,485.72 and 923.06

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Solution

The fourth proportional to 995.34, 1,485.72 and 923.06 is: 1,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.34 : 1,485.72 = 923.06 : x
  2. Step 2: Convert to fraction form
    995.34/1,485.72 = 923.06/x
  3. Step 3: Cross multiply
    995.34x = 1,485.72 × 923.06
  4. Step 4: Simplify right side
    995.34x = 1,371,408.70
  5. Step 5: Solve for x
    x = 1,371,408.70/995.34
  6. Step 6: Final answer
    x = 1,377.83

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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.