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Finding the Fourth Proportional to 733.79, 1,098.53 and 459.05

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Solution

The fourth proportional to 733.79, 1,098.53 and 459.05 is: 687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.79 : 1,098.53 = 459.05 : x
  2. Step 2: Convert to fraction form
    733.79/1,098.53 = 459.05/x
  3. Step 3: Cross multiply
    733.79x = 1,098.53 × 459.05
  4. Step 4: Simplify right side
    733.79x = 504,280.20
  5. Step 5: Solve for x
    x = 504,280.20/733.79
  6. Step 6: Final answer
    x = 687.23

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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.