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Finding the Fourth Proportional to 1,418, 1,956.84 and 829.03

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Solution

The fourth proportional to 1,418, 1,956.84 and 829.03 is: 1,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418 : 1,956.84 = 829.03 : x
  2. Step 2: Convert to fraction form
    1,418/1,956.84 = 829.03/x
  3. Step 3: Cross multiply
    1,418x = 1,956.84 × 829.03
  4. Step 4: Simplify right side
    1,418x = 1,622,279.07
  5. Step 5: Solve for x
    x = 1,622,279.07/1,418
  6. Step 6: Final answer
    x = 1,144.06

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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.