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Finding the Fourth Proportional to 1,448.24, 2,171.40 and 678

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Solution

The fourth proportional to 1,448.24, 2,171.40 and 678 is: 1,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.24 : 2,171.40 = 678 : x
  2. Step 2: Convert to fraction form
    1,448.24/2,171.40 = 678/x
  3. Step 3: Cross multiply
    1,448.24x = 2,171.40 × 678
  4. Step 4: Simplify right side
    1,448.24x = 1,472,209.20
  5. Step 5: Solve for x
    x = 1,472,209.20/1,448.24
  6. Step 6: Final answer
    x = 1,016.55

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Why These Related Problems?

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