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Finding the Fourth Proportional to 1,236.78, 1,855.04 and 312.34

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Solution

The fourth proportional to 1,236.78, 1,855.04 and 312.34 is: 468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.78 : 1,855.04 = 312.34 : x
  2. Step 2: Convert to fraction form
    1,236.78/1,855.04 = 312.34/x
  3. Step 3: Cross multiply
    1,236.78x = 1,855.04 × 312.34
  4. Step 4: Simplify right side
    1,236.78x = 579,396.99
  5. Step 5: Solve for x
    x = 579,396.99/1,236.78
  6. Step 6: Final answer
    x = 468.47

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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.