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Finding the Fourth Proportional to 1,266.75, 1,748.14 and 742.77

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Solution

The fourth proportional to 1,266.75, 1,748.14 and 742.77 is: 1,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.75 : 1,748.14 = 742.77 : x
  2. Step 2: Convert to fraction form
    1,266.75/1,748.14 = 742.77/x
  3. Step 3: Cross multiply
    1,266.75x = 1,748.14 × 742.77
  4. Step 4: Simplify right side
    1,266.75x = 1,298,464.09
  5. Step 5: Solve for x
    x = 1,298,464.09/1,266.75
  6. Step 6: Final answer
    x = 1,025.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.