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Finding the Fourth Proportional to 748.97, 1,124.67 and 563.90

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Solution

The fourth proportional to 748.97, 1,124.67 and 563.90 is: 846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.97 : 1,124.67 = 563.90 : x
  2. Step 2: Convert to fraction form
    748.97/1,124.67 = 563.90/x
  3. Step 3: Cross multiply
    748.97x = 1,124.67 × 563.90
  4. Step 4: Simplify right side
    748.97x = 634,201.41
  5. Step 5: Solve for x
    x = 634,201.41/748.97
  6. Step 6: Final answer
    x = 846.76

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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.