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Finding the Fourth Proportional to 1,536.55, 2,305.19 and 440.89

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Solution

The fourth proportional to 1,536.55, 2,305.19 and 440.89 is: 661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.55 : 2,305.19 = 440.89 : x
  2. Step 2: Convert to fraction form
    1,536.55/2,305.19 = 440.89/x
  3. Step 3: Cross multiply
    1,536.55x = 2,305.19 × 440.89
  4. Step 4: Simplify right side
    1,536.55x = 1,016,335.22
  5. Step 5: Solve for x
    x = 1,016,335.22/1,536.55
  6. Step 6: Final answer
    x = 661.44

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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.