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Finding the Fourth Proportional to 1,228.20, 1,697.07 and 981.56

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Solution

The fourth proportional to 1,228.20, 1,697.07 and 981.56 is: 1,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.20 : 1,697.07 = 981.56 : x
  2. Step 2: Convert to fraction form
    1,228.20/1,697.07 = 981.56/x
  3. Step 3: Cross multiply
    1,228.20x = 1,697.07 × 981.56
  4. Step 4: Simplify right side
    1,228.20x = 1,665,771.22
  5. Step 5: Solve for x
    x = 1,665,771.22/1,228.20
  6. Step 6: Final answer
    x = 1,356.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.