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Finding the Fourth Proportional to 800.69, 1,104.77 and 469.26

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Solution

The fourth proportional to 800.69, 1,104.77 and 469.26 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.69 : 1,104.77 = 469.26 : x
  2. Step 2: Convert to fraction form
    800.69/1,104.77 = 469.26/x
  3. Step 3: Cross multiply
    800.69x = 1,104.77 × 469.26
  4. Step 4: Simplify right side
    800.69x = 518,425.54
  5. Step 5: Solve for x
    x = 518,425.54/800.69
  6. Step 6: Final answer
    x = 647.48

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