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Finding the Fourth Proportional to 733.76, 1,102.56 and 618.56

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Solution

The fourth proportional to 733.76, 1,102.56 and 618.56 is: 929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.76 : 1,102.56 = 618.56 : x
  2. Step 2: Convert to fraction form
    733.76/1,102.56 = 618.56/x
  3. Step 3: Cross multiply
    733.76x = 1,102.56 × 618.56
  4. Step 4: Simplify right side
    733.76x = 681,999.51
  5. Step 5: Solve for x
    x = 681,999.51/733.76
  6. Step 6: Final answer
    x = 929.46

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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.