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Finding the Fourth Proportional to 1,025.88, 1,538.81 and 256.38

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Solution

The fourth proportional to 1,025.88, 1,538.81 and 256.38 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.88 : 1,538.81 = 256.38 : x
  2. Step 2: Convert to fraction form
    1,025.88/1,538.81 = 256.38/x
  3. Step 3: Cross multiply
    1,025.88x = 1,538.81 × 256.38
  4. Step 4: Simplify right side
    1,025.88x = 394,520.11
  5. Step 5: Solve for x
    x = 394,520.11/1,025.88
  6. Step 6: Final answer
    x = 384.57

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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.