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Finding the Fourth Proportional to 1,359.97, 2,039.79 and 435.44

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Solution

The fourth proportional to 1,359.97, 2,039.79 and 435.44 is: 653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.97 : 2,039.79 = 435.44 : x
  2. Step 2: Convert to fraction form
    1,359.97/2,039.79 = 435.44/x
  3. Step 3: Cross multiply
    1,359.97x = 2,039.79 × 435.44
  4. Step 4: Simplify right side
    1,359.97x = 888,212.89
  5. Step 5: Solve for x
    x = 888,212.89/1,359.97
  6. Step 6: Final answer
    x = 653.11

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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.