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Finding the Fourth Proportional to 996.80, 1,494.43 and 652.28

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Solution

The fourth proportional to 996.80, 1,494.43 and 652.28 is: 977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.80 : 1,494.43 = 652.28 : x
  2. Step 2: Convert to fraction form
    996.80/1,494.43 = 652.28/x
  3. Step 3: Cross multiply
    996.80x = 1,494.43 × 652.28
  4. Step 4: Simplify right side
    996.80x = 974,777.70
  5. Step 5: Solve for x
    x = 974,777.70/996.80
  6. Step 6: Final answer
    x = 977.91

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