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Finding the Fourth Proportional to 1,448.25, 1,999.45 and 951.75

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Solution

The fourth proportional to 1,448.25, 1,999.45 and 951.75 is: 1,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.25 : 1,999.45 = 951.75 : x
  2. Step 2: Convert to fraction form
    1,448.25/1,999.45 = 951.75/x
  3. Step 3: Cross multiply
    1,448.25x = 1,999.45 × 951.75
  4. Step 4: Simplify right side
    1,448.25x = 1,902,977.73
  5. Step 5: Solve for x
    x = 1,902,977.73/1,448.25
  6. Step 6: Final answer
    x = 1,313.99

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1.5x scale

Why These Related Problems?

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