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Finding the Fourth Proportional to 1,079.96, 1,619.78 and 349.43

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Solution

The fourth proportional to 1,079.96, 1,619.78 and 349.43 is: 524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.96 : 1,619.78 = 349.43 : x
  2. Step 2: Convert to fraction form
    1,079.96/1,619.78 = 349.43/x
  3. Step 3: Cross multiply
    1,079.96x = 1,619.78 × 349.43
  4. Step 4: Simplify right side
    1,079.96x = 565,989.88
  5. Step 5: Solve for x
    x = 565,989.88/1,079.96
  6. Step 6: Final answer
    x = 524.09

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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.