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Finding the Fourth Proportional to 1,266.56, 1,895.21 and 746.81

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Solution

The fourth proportional to 1,266.56, 1,895.21 and 746.81 is: 1,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.56 : 1,895.21 = 746.81 : x
  2. Step 2: Convert to fraction form
    1,266.56/1,895.21 = 746.81/x
  3. Step 3: Cross multiply
    1,266.56x = 1,895.21 × 746.81
  4. Step 4: Simplify right side
    1,266.56x = 1,415,348.57
  5. Step 5: Solve for x
    x = 1,415,348.57/1,266.56
  6. Step 6: Final answer
    x = 1,117.48

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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.