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Finding the Fourth Proportional to 1,024.19, 1,536.52 and 293.83

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Solution

The fourth proportional to 1,024.19, 1,536.52 and 293.83 is: 440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.19 : 1,536.52 = 293.83 : x
  2. Step 2: Convert to fraction form
    1,024.19/1,536.52 = 293.83/x
  3. Step 3: Cross multiply
    1,024.19x = 1,536.52 × 293.83
  4. Step 4: Simplify right side
    1,024.19x = 451,471.65
  5. Step 5: Solve for x
    x = 451,471.65/1,024.19
  6. Step 6: Final answer
    x = 440.81

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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.