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Finding the Fourth Proportional to 1,274.41, 1,911.31 and 349.72

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Solution

The fourth proportional to 1,274.41, 1,911.31 and 349.72 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.41 : 1,911.31 = 349.72 : x
  2. Step 2: Convert to fraction form
    1,274.41/1,911.31 = 349.72/x
  3. Step 3: Cross multiply
    1,274.41x = 1,911.31 × 349.72
  4. Step 4: Simplify right side
    1,274.41x = 668,423.33
  5. Step 5: Solve for x
    x = 668,423.33/1,274.41
  6. Step 6: Final answer
    x = 524.50

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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.