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Finding the Fourth Proportional to 1,267.72, 1,749.62 and 827.60

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Solution

The fourth proportional to 1,267.72, 1,749.62 and 827.60 is: 1,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.72 : 1,749.62 = 827.60 : x
  2. Step 2: Convert to fraction form
    1,267.72/1,749.62 = 827.60/x
  3. Step 3: Cross multiply
    1,267.72x = 1,749.62 × 827.60
  4. Step 4: Simplify right side
    1,267.72x = 1,447,985.51
  5. Step 5: Solve for x
    x = 1,447,985.51/1,267.72
  6. Step 6: Final answer
    x = 1,142.20

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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.