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Finding the Fourth Proportional to 1,274.07, 1,911.20 and 349.70

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Solution

The fourth proportional to 1,274.07, 1,911.20 and 349.70 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.07 : 1,911.20 = 349.70 : x
  2. Step 2: Convert to fraction form
    1,274.07/1,911.20 = 349.70/x
  3. Step 3: Cross multiply
    1,274.07x = 1,911.20 × 349.70
  4. Step 4: Simplify right side
    1,274.07x = 668,335.34
  5. Step 5: Solve for x
    x = 668,335.34/1,274.07
  6. Step 6: Final answer
    x = 524.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.