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Finding the Fourth Proportional to 1,079.78, 1,619.28 and 349.11

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Solution

The fourth proportional to 1,079.78, 1,619.28 and 349.11 is: 523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.78 : 1,619.28 = 349.11 : x
  2. Step 2: Convert to fraction form
    1,079.78/1,619.28 = 349.11/x
  3. Step 3: Cross multiply
    1,079.78x = 1,619.28 × 349.11
  4. Step 4: Simplify right side
    1,079.78x = 565,306.84
  5. Step 5: Solve for x
    x = 565,306.84/1,079.78
  6. Step 6: Final answer
    x = 523.54

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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.