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Finding the Fourth Proportional to 1,086.39, 1,629.74 and 437.09

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Solution

The fourth proportional to 1,086.39, 1,629.74 and 437.09 is: 655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.39 : 1,629.74 = 437.09 : x
  2. Step 2: Convert to fraction form
    1,086.39/1,629.74 = 437.09/x
  3. Step 3: Cross multiply
    1,086.39x = 1,629.74 × 437.09
  4. Step 4: Simplify right side
    1,086.39x = 712,336.00
  5. Step 5: Solve for x
    x = 712,336.00/1,086.39
  6. Step 6: Final answer
    x = 655.69

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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.