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Finding the Fourth Proportional to 1,079.52, 1,619.10 and 349.62

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Solution

The fourth proportional to 1,079.52, 1,619.10 and 349.62 is: 524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,619.10 = 349.62 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,619.10 = 349.62/x
  3. Step 3: Cross multiply
    1,079.52x = 1,619.10 × 349.62
  4. Step 4: Simplify right side
    1,079.52x = 566,069.74
  5. Step 5: Solve for x
    x = 566,069.74/1,079.52
  6. Step 6: Final answer
    x = 524.37

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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.