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Finding the Fourth Proportional to 1,226, 1,839 and 314

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Solution

The fourth proportional to 1,226, 1,839 and 314 is: 471

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226 : 1,839 = 314 : x
  2. Step 2: Convert to fraction form
    1,226/1,839 = 314/x
  3. Step 3: Cross multiply
    1,226x = 1,839 × 314
  4. Step 4: Simplify right side
    1,226x = 577,446
  5. Step 5: Solve for x
    x = 577,446/1,226
  6. Step 6: Final answer
    x = 471

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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.