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Finding the Fourth Proportional to 794.71, 1,190.17 and 469.09

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Solution

The fourth proportional to 794.71, 1,190.17 and 469.09 is: 702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.71 : 1,190.17 = 469.09 : x
  2. Step 2: Convert to fraction form
    794.71/1,190.17 = 469.09/x
  3. Step 3: Cross multiply
    794.71x = 1,190.17 × 469.09
  4. Step 4: Simplify right side
    794.71x = 558,296.85
  5. Step 5: Solve for x
    x = 558,296.85/794.71
  6. Step 6: Final answer
    x = 702.52

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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.