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Finding the Fourth Proportional to 1,536.82, 2,304.70 and 441.20

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Solution

The fourth proportional to 1,536.82, 2,304.70 and 441.20 is: 661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.82 : 2,304.70 = 441.20 : x
  2. Step 2: Convert to fraction form
    1,536.82/2,304.70 = 441.20/x
  3. Step 3: Cross multiply
    1,536.82x = 2,304.70 × 441.20
  4. Step 4: Simplify right side
    1,536.82x = 1,016,827.82
  5. Step 5: Solve for x
    x = 1,016,827.82/1,536.82
  6. Step 6: Final answer
    x = 661.64

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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.