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Finding the Fourth Proportional to 794.58, 1,190.79 and 448.14

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Solution

The fourth proportional to 794.58, 1,190.79 and 448.14 is: 671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.58 : 1,190.79 = 448.14 : x
  2. Step 2: Convert to fraction form
    794.58/1,190.79 = 448.14/x
  3. Step 3: Cross multiply
    794.58x = 1,190.79 × 448.14
  4. Step 4: Simplify right side
    794.58x = 533,640.63
  5. Step 5: Solve for x
    x = 533,640.63/794.58
  6. Step 6: Final answer
    x = 671.60

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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.