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Finding the Fourth Proportional to 802.86, 1,105.47 and 636.54

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Solution

The fourth proportional to 802.86, 1,105.47 and 636.54 is: 876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.86 : 1,105.47 = 636.54 : x
  2. Step 2: Convert to fraction form
    802.86/1,105.47 = 636.54/x
  3. Step 3: Cross multiply
    802.86x = 1,105.47 × 636.54
  4. Step 4: Simplify right side
    802.86x = 703,675.87
  5. Step 5: Solve for x
    x = 703,675.87/802.86
  6. Step 6: Final answer
    x = 876.46

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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.