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Finding the Fourth Proportional to 1,536.27, 2,304.86 and 496.25

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Solution

The fourth proportional to 1,536.27, 2,304.86 and 496.25 is: 744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.27 : 2,304.86 = 496.25 : x
  2. Step 2: Convert to fraction form
    1,536.27/2,304.86 = 496.25/x
  3. Step 3: Cross multiply
    1,536.27x = 2,304.86 × 496.25
  4. Step 4: Simplify right side
    1,536.27x = 1,143,784.29
  5. Step 5: Solve for x
    x = 1,143,784.29/1,536.27
  6. Step 6: Final answer
    x = 744.52

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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.