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Finding the Fourth Proportional to 1,536.45, 2,305.07 and 440.88

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Solution

The fourth proportional to 1,536.45, 2,305.07 and 440.88 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.45 : 2,305.07 = 440.88 : x
  2. Step 2: Convert to fraction form
    1,536.45/2,305.07 = 440.88/x
  3. Step 3: Cross multiply
    1,536.45x = 2,305.07 × 440.88
  4. Step 4: Simplify right side
    1,536.45x = 1,016,257.06
  5. Step 5: Solve for x
    x = 1,016,257.06/1,536.45
  6. Step 6: Final answer
    x = 661.43

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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.