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Finding the Fourth Proportional to 1,536, 2,304 and 496.87

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Solution

The fourth proportional to 1,536, 2,304 and 496.87 is: 745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536 : 2,304 = 496.87 : x
  2. Step 2: Convert to fraction form
    1,536/2,304 = 496.87/x
  3. Step 3: Cross multiply
    1,536x = 2,304 × 496.87
  4. Step 4: Simplify right side
    1,536x = 1,144,791.36
  5. Step 5: Solve for x
    x = 1,144,791.36/1,536
  6. Step 6: Final answer
    x = 745.31

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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.