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Finding the Fourth Proportional to 1,448, 2,171.90 and 474.08

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Solution

The fourth proportional to 1,448, 2,171.90 and 474.08 is: 711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448 : 2,171.90 = 474.08 : x
  2. Step 2: Convert to fraction form
    1,448/2,171.90 = 474.08/x
  3. Step 3: Cross multiply
    1,448x = 2,171.90 × 474.08
  4. Step 4: Simplify right side
    1,448x = 1,029,654.35
  5. Step 5: Solve for x
    x = 1,029,654.35/1,448
  6. Step 6: Final answer
    x = 711.09

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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.