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Finding the Fourth Proportional to 1,025.94, 1,538.90 and 295.52

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Solution

The fourth proportional to 1,025.94, 1,538.90 and 295.52 is: 443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.94 : 1,538.90 = 295.52 : x
  2. Step 2: Convert to fraction form
    1,025.94/1,538.90 = 295.52/x
  3. Step 3: Cross multiply
    1,025.94x = 1,538.90 × 295.52
  4. Step 4: Simplify right side
    1,025.94x = 454,766.56
  5. Step 5: Solve for x
    x = 454,766.56/1,025.94
  6. Step 6: Final answer
    x = 443.27

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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.