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Finding the Fourth Proportional to 1,440.75, 1,988.24 and 819.75

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Solution

The fourth proportional to 1,440.75, 1,988.24 and 819.75 is: 1,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.75 : 1,988.24 = 819.75 : x
  2. Step 2: Convert to fraction form
    1,440.75/1,988.24 = 819.75/x
  3. Step 3: Cross multiply
    1,440.75x = 1,988.24 × 819.75
  4. Step 4: Simplify right side
    1,440.75x = 1,629,855.64
  5. Step 5: Solve for x
    x = 1,629,855.64/1,440.75
  6. Step 6: Final answer
    x = 1,131.26

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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.