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Finding the Fourth Proportional to 1,079.58, 1,619.30 and 349.12

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Solution

The fourth proportional to 1,079.58, 1,619.30 and 349.12 is: 523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.58 : 1,619.30 = 349.12 : x
  2. Step 2: Convert to fraction form
    1,079.58/1,619.30 = 349.12/x
  3. Step 3: Cross multiply
    1,079.58x = 1,619.30 × 349.12
  4. Step 4: Simplify right side
    1,079.58x = 565,330.02
  5. Step 5: Solve for x
    x = 565,330.02/1,079.58
  6. Step 6: Final answer
    x = 523.66

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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.