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Finding the Fourth Proportional to 994.68, 1,490.96 and 648.28

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Solution

The fourth proportional to 994.68, 1,490.96 and 648.28 is: 971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,490.96 = 648.28 : x
  2. Step 2: Convert to fraction form
    994.68/1,490.96 = 648.28/x
  3. Step 3: Cross multiply
    994.68x = 1,490.96 × 648.28
  4. Step 4: Simplify right side
    994.68x = 966,559.55
  5. Step 5: Solve for x
    x = 966,559.55/994.68
  6. Step 6: Final answer
    x = 971.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.