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Finding the Fourth Proportional to 794.88, 1,189.89 and 469.26

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Solution

The fourth proportional to 794.88, 1,189.89 and 469.26 is: 702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.88 : 1,189.89 = 469.26 : x
  2. Step 2: Convert to fraction form
    794.88/1,189.89 = 469.26/x
  3. Step 3: Cross multiply
    794.88x = 1,189.89 × 469.26
  4. Step 4: Simplify right side
    794.88x = 558,367.78
  5. Step 5: Solve for x
    x = 558,367.78/794.88
  6. Step 6: Final answer
    x = 702.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.