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Finding the Fourth Proportional to 1,266.46, 1,747.84 and 742.58

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Solution

The fourth proportional to 1,266.46, 1,747.84 and 742.58 is: 1,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.46 : 1,747.84 = 742.58 : x
  2. Step 2: Convert to fraction form
    1,266.46/1,747.84 = 742.58/x
  3. Step 3: Cross multiply
    1,266.46x = 1,747.84 × 742.58
  4. Step 4: Simplify right side
    1,266.46x = 1,297,911.03
  5. Step 5: Solve for x
    x = 1,297,911.03/1,266.46
  6. Step 6: Final answer
    x = 1,024.83

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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.