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Finding the Fourth Proportional to 1,202.12, 1,659 and 678.14

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Solution

The fourth proportional to 1,202.12, 1,659 and 678.14 is: 935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.12 : 1,659 = 678.14 : x
  2. Step 2: Convert to fraction form
    1,202.12/1,659 = 678.14/x
  3. Step 3: Cross multiply
    1,202.12x = 1,659 × 678.14
  4. Step 4: Simplify right side
    1,202.12x = 1,125,034.26
  5. Step 5: Solve for x
    x = 1,125,034.26/1,202.12
  6. Step 6: Final answer
    x = 935.88

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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.