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Finding the Fourth Proportional to 1,267.90, 1,748.03 and 825.64

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Solution

The fourth proportional to 1,267.90, 1,748.03 and 825.64 is: 1,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.90 : 1,748.03 = 825.64 : x
  2. Step 2: Convert to fraction form
    1,267.90/1,748.03 = 825.64/x
  3. Step 3: Cross multiply
    1,267.90x = 1,748.03 × 825.64
  4. Step 4: Simplify right side
    1,267.90x = 1,443,234.99
  5. Step 5: Solve for x
    x = 1,443,234.99/1,267.90
  6. Step 6: Final answer
    x = 1,138.29

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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.