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Finding the Fourth Proportional to 1,536.90, 2,305.20 and 441.24

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Solution

The fourth proportional to 1,536.90, 2,305.20 and 441.24 is: 661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.90 : 2,305.20 = 441.24 : x
  2. Step 2: Convert to fraction form
    1,536.90/2,305.20 = 441.24/x
  3. Step 3: Cross multiply
    1,536.90x = 2,305.20 × 441.24
  4. Step 4: Simplify right side
    1,536.90x = 1,017,146.45
  5. Step 5: Solve for x
    x = 1,017,146.45/1,536.90
  6. Step 6: Final answer
    x = 661.82

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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.