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Finding the Fourth Proportional to 634.45, 877.94 and 541.05

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Solution

The fourth proportional to 634.45, 877.94 and 541.05 is: 748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.45 : 877.94 = 541.05 : x
  2. Step 2: Convert to fraction form
    634.45/877.94 = 541.05/x
  3. Step 3: Cross multiply
    634.45x = 877.94 × 541.05
  4. Step 4: Simplify right side
    634.45x = 475,009.44
  5. Step 5: Solve for x
    x = 475,009.44/634.45
  6. Step 6: Final answer
    x = 748.69

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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.