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Finding the Fourth Proportional to 748.76, 1,033.64 and 561.96

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Solution

The fourth proportional to 748.76, 1,033.64 and 561.96 is: 775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.76 : 1,033.64 = 561.96 : x
  2. Step 2: Convert to fraction form
    748.76/1,033.64 = 561.96/x
  3. Step 3: Cross multiply
    748.76x = 1,033.64 × 561.96
  4. Step 4: Simplify right side
    748.76x = 580,861.97
  5. Step 5: Solve for x
    x = 580,861.97/748.76
  6. Step 6: Final answer
    x = 775.76

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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.