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Finding the Fourth Proportional to 1,448.14, 2,173.02 and 678.64

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Solution

The fourth proportional to 1,448.14, 2,173.02 and 678.64 is: 1,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.14 : 2,173.02 = 678.64 : x
  2. Step 2: Convert to fraction form
    1,448.14/2,173.02 = 678.64/x
  3. Step 3: Cross multiply
    1,448.14x = 2,173.02 × 678.64
  4. Step 4: Simplify right side
    1,448.14x = 1,474,698.29
  5. Step 5: Solve for x
    x = 1,474,698.29/1,448.14
  6. Step 6: Final answer
    x = 1,018.34

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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.