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Finding the Fourth Proportional to 1,536.20, 2,304.69 and 440.63

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Solution

The fourth proportional to 1,536.20, 2,304.69 and 440.63 is: 661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.20 : 2,304.69 = 440.63 : x
  2. Step 2: Convert to fraction form
    1,536.20/2,304.69 = 440.63/x
  3. Step 3: Cross multiply
    1,536.20x = 2,304.69 × 440.63
  4. Step 4: Simplify right side
    1,536.20x = 1,015,515.55
  5. Step 5: Solve for x
    x = 1,015,515.55/1,536.20
  6. Step 6: Final answer
    x = 661.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.