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Finding the Fourth Proportional to 1,263, 1,741.82 and 820.48

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Solution

The fourth proportional to 1,263, 1,741.82 and 820.48 is: 1,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263 : 1,741.82 = 820.48 : x
  2. Step 2: Convert to fraction form
    1,263/1,741.82 = 820.48/x
  3. Step 3: Cross multiply
    1,263x = 1,741.82 × 820.48
  4. Step 4: Simplify right side
    1,263x = 1,429,128.47
  5. Step 5: Solve for x
    x = 1,429,128.47/1,263
  6. Step 6: Final answer
    x = 1,131.53

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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.