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Finding the Fourth Proportional to 1,024.38, 1,536.29 and 293.78

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Solution

The fourth proportional to 1,024.38, 1,536.29 and 293.78 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.38 : 1,536.29 = 293.78 : x
  2. Step 2: Convert to fraction form
    1,024.38/1,536.29 = 293.78/x
  3. Step 3: Cross multiply
    1,024.38x = 1,536.29 × 293.78
  4. Step 4: Simplify right side
    1,024.38x = 451,323.59
  5. Step 5: Solve for x
    x = 451,323.59/1,024.38
  6. Step 6: Final answer
    x = 440.58

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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.