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Finding the Fourth Proportional to 1,119.41, 1,678.92 and 297.69

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Solution

The fourth proportional to 1,119.41, 1,678.92 and 297.69 is: 446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.41 : 1,678.92 = 297.69 : x
  2. Step 2: Convert to fraction form
    1,119.41/1,678.92 = 297.69/x
  3. Step 3: Cross multiply
    1,119.41x = 1,678.92 × 297.69
  4. Step 4: Simplify right side
    1,119.41x = 499,797.69
  5. Step 5: Solve for x
    x = 499,797.69/1,119.41
  6. Step 6: Final answer
    x = 446.49

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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.