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Finding the Fourth Proportional to 1,274.78, 1,911.93 and 350.11

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Solution

The fourth proportional to 1,274.78, 1,911.93 and 350.11 is: 525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.78 : 1,911.93 = 350.11 : x
  2. Step 2: Convert to fraction form
    1,274.78/1,911.93 = 350.11/x
  3. Step 3: Cross multiply
    1,274.78x = 1,911.93 × 350.11
  4. Step 4: Simplify right side
    1,274.78x = 669,377.12
  5. Step 5: Solve for x
    x = 669,377.12/1,274.78
  6. Step 6: Final answer
    x = 525.09

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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.