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Finding the Fourth Proportional to 1,231.74, 1,698.84 and 900.45

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Solution

The fourth proportional to 1,231.74, 1,698.84 and 900.45 is: 1,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.74 : 1,698.84 = 900.45 : x
  2. Step 2: Convert to fraction form
    1,231.74/1,698.84 = 900.45/x
  3. Step 3: Cross multiply
    1,231.74x = 1,698.84 × 900.45
  4. Step 4: Simplify right side
    1,231.74x = 1,529,720.48
  5. Step 5: Solve for x
    x = 1,529,720.48/1,231.74
  6. Step 6: Final answer
    x = 1,241.92

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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.