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Finding the Fourth Proportional to 1,231, 1,847.56 and 654.28

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Solution

The fourth proportional to 1,231, 1,847.56 and 654.28 is: 981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231 : 1,847.56 = 654.28 : x
  2. Step 2: Convert to fraction form
    1,231/1,847.56 = 654.28/x
  3. Step 3: Cross multiply
    1,231x = 1,847.56 × 654.28
  4. Step 4: Simplify right side
    1,231x = 1,208,821.56
  5. Step 5: Solve for x
    x = 1,208,821.56/1,231
  6. Step 6: Final answer
    x = 981.98

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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.