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Finding the Fourth Proportional to 1,024.46, 1,536.60 and 408.00

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Solution

The fourth proportional to 1,024.46, 1,536.60 and 408.00 is: 611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.46 : 1,536.60 = 408.00 : x
  2. Step 2: Convert to fraction form
    1,024.46/1,536.60 = 408.00/x
  3. Step 3: Cross multiply
    1,024.46x = 1,536.60 × 408.00
  4. Step 4: Simplify right side
    1,024.46x = 626,940.09
  5. Step 5: Solve for x
    x = 626,940.09/1,024.46
  6. Step 6: Final answer
    x = 611.97

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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.