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Finding the Fourth Proportional to 1,025.32, 1,537.90 and 255.82

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Solution

The fourth proportional to 1,025.32, 1,537.90 and 255.82 is: 383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.32 : 1,537.90 = 255.82 : x
  2. Step 2: Convert to fraction form
    1,025.32/1,537.90 = 255.82/x
  3. Step 3: Cross multiply
    1,025.32x = 1,537.90 × 255.82
  4. Step 4: Simplify right side
    1,025.32x = 393,425.58
  5. Step 5: Solve for x
    x = 393,425.58/1,025.32
  6. Step 6: Final answer
    x = 383.71

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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.