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Finding the Fourth Proportional to 1,024.22, 1,536.59 and 293.81

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Solution

The fourth proportional to 1,024.22, 1,536.59 and 293.81 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.22 : 1,536.59 = 293.81 : x
  2. Step 2: Convert to fraction form
    1,024.22/1,536.59 = 293.81/x
  3. Step 3: Cross multiply
    1,024.22x = 1,536.59 × 293.81
  4. Step 4: Simplify right side
    1,024.22x = 451,458.56
  5. Step 5: Solve for x
    x = 451,458.56/1,024.22
  6. Step 6: Final answer
    x = 440.78

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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.