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Finding the Fourth Proportional to 733.80, 1,098.07 and 684.92

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Solution

The fourth proportional to 733.80, 1,098.07 and 684.92 is: 1,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,098.07 = 684.92 : x
  2. Step 2: Convert to fraction form
    733.80/1,098.07 = 684.92/x
  3. Step 3: Cross multiply
    733.80x = 1,098.07 × 684.92
  4. Step 4: Simplify right side
    733.80x = 752,090.10
  5. Step 5: Solve for x
    x = 752,090.10/733.80
  6. Step 6: Final answer
    x = 1,024.93

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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.