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Finding the Fourth Proportional to 1,024.26, 1,536.52 and 504.28

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Solution

The fourth proportional to 1,024.26, 1,536.52 and 504.28 is: 756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.26 : 1,536.52 = 504.28 : x
  2. Step 2: Convert to fraction form
    1,024.26/1,536.52 = 504.28/x
  3. Step 3: Cross multiply
    1,024.26x = 1,536.52 × 504.28
  4. Step 4: Simplify right side
    1,024.26x = 774,836.31
  5. Step 5: Solve for x
    x = 774,836.31/1,024.26
  6. Step 6: Final answer
    x = 756.48

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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.