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Finding the Fourth Proportional to 1,380.97, 2,071.75 and 456.49

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Solution

The fourth proportional to 1,380.97, 2,071.75 and 456.49 is: 684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.97 : 2,071.75 = 456.49 : x
  2. Step 2: Convert to fraction form
    1,380.97/2,071.75 = 456.49/x
  3. Step 3: Cross multiply
    1,380.97x = 2,071.75 × 456.49
  4. Step 4: Simplify right side
    1,380.97x = 945,733.16
  5. Step 5: Solve for x
    x = 945,733.16/1,380.97
  6. Step 6: Final answer
    x = 684.83

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1.5x scale

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.