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Finding the Fourth Proportional to 1,267.71, 1,901.97 and 650.90

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Solution

The fourth proportional to 1,267.71, 1,901.97 and 650.90 is: 976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.71 : 1,901.97 = 650.90 : x
  2. Step 2: Convert to fraction form
    1,267.71/1,901.97 = 650.90/x
  3. Step 3: Cross multiply
    1,267.71x = 1,901.97 × 650.90
  4. Step 4: Simplify right side
    1,267.71x = 1,237,982.76
  5. Step 5: Solve for x
    x = 1,237,982.76/1,267.71
  6. Step 6: Final answer
    x = 976.55

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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.