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Finding the Fourth Proportional to 800.58, 1,105.85 and 551.46

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Solution

The fourth proportional to 800.58, 1,105.85 and 551.46 is: 761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.58 : 1,105.85 = 551.46 : x
  2. Step 2: Convert to fraction form
    800.58/1,105.85 = 551.46/x
  3. Step 3: Cross multiply
    800.58x = 1,105.85 × 551.46
  4. Step 4: Simplify right side
    800.58x = 609,829.28
  5. Step 5: Solve for x
    x = 609,829.28/800.58
  6. Step 6: Final answer
    x = 761.73

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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.