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Finding the Fourth Proportional to 801.94, 1,107.09 and 491.62

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Solution

The fourth proportional to 801.94, 1,107.09 and 491.62 is: 678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.94 : 1,107.09 = 491.62 : x
  2. Step 2: Convert to fraction form
    801.94/1,107.09 = 491.62/x
  3. Step 3: Cross multiply
    801.94x = 1,107.09 × 491.62
  4. Step 4: Simplify right side
    801.94x = 544,267.59
  5. Step 5: Solve for x
    x = 544,267.59/801.94
  6. Step 6: Final answer
    x = 678.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.