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Finding the Fourth Proportional to 1,202.80, 1,659.85 and 678.82

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Solution

The fourth proportional to 1,202.80, 1,659.85 and 678.82 is: 936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.80 : 1,659.85 = 678.82 : x
  2. Step 2: Convert to fraction form
    1,202.80/1,659.85 = 678.82/x
  3. Step 3: Cross multiply
    1,202.80x = 1,659.85 × 678.82
  4. Step 4: Simplify right side
    1,202.80x = 1,126,733.53
  5. Step 5: Solve for x
    x = 1,126,733.53/1,202.80
  6. Step 6: Final answer
    x = 936.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.