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Finding the Fourth Proportional to 1,026, 1,539 and 256.50

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Solution

The fourth proportional to 1,026, 1,539 and 256.50 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 1,539 = 256.50 : x
  2. Step 2: Convert to fraction form
    1,026/1,539 = 256.50/x
  3. Step 3: Cross multiply
    1,026x = 1,539 × 256.50
  4. Step 4: Simplify right side
    1,026x = 394,753.50
  5. Step 5: Solve for x
    x = 394,753.50/1,026
  6. Step 6: Final answer
    x = 384.75

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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.