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Finding the Fourth Proportional to 1,230.96, 1,698.67 and 699.84

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Solution

The fourth proportional to 1,230.96, 1,698.67 and 699.84 is: 965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.96 : 1,698.67 = 699.84 : x
  2. Step 2: Convert to fraction form
    1,230.96/1,698.67 = 699.84/x
  3. Step 3: Cross multiply
    1,230.96x = 1,698.67 × 699.84
  4. Step 4: Simplify right side
    1,230.96x = 1,188,798.93
  5. Step 5: Solve for x
    x = 1,188,798.93/1,230.96
  6. Step 6: Final answer
    x = 965.75

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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.