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Finding the Fourth Proportional to 1,274.40, 1,911.66 and 657.27

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Solution

The fourth proportional to 1,274.40, 1,911.66 and 657.27 is: 985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.40 : 1,911.66 = 657.27 : x
  2. Step 2: Convert to fraction form
    1,274.40/1,911.66 = 657.27/x
  3. Step 3: Cross multiply
    1,274.40x = 1,911.66 × 657.27
  4. Step 4: Simplify right side
    1,274.40x = 1,256,476.77
  5. Step 5: Solve for x
    x = 1,256,476.77/1,274.40
  6. Step 6: Final answer
    x = 985.94

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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.