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Finding the Fourth Proportional to 1,119.86, 1,679.86 and 298.11

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Solution

The fourth proportional to 1,119.86, 1,679.86 and 298.11 is: 447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.86 : 1,679.86 = 298.11 : x
  2. Step 2: Convert to fraction form
    1,119.86/1,679.86 = 298.11/x
  3. Step 3: Cross multiply
    1,119.86x = 1,679.86 × 298.11
  4. Step 4: Simplify right side
    1,119.86x = 500,783.06
  5. Step 5: Solve for x
    x = 500,783.06/1,119.86
  6. Step 6: Final answer
    x = 447.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.