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Finding the Fourth Proportional to 1,266.18, 1,894.63 and 746.41

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Solution

The fourth proportional to 1,266.18, 1,894.63 and 746.41 is: 1,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.18 : 1,894.63 = 746.41 : x
  2. Step 2: Convert to fraction form
    1,266.18/1,894.63 = 746.41/x
  3. Step 3: Cross multiply
    1,266.18x = 1,894.63 × 746.41
  4. Step 4: Simplify right side
    1,266.18x = 1,414,170.78
  5. Step 5: Solve for x
    x = 1,414,170.78/1,266.18
  6. Step 6: Final answer
    x = 1,116.88

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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.