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Finding the Fourth Proportional to 1,153.73, 1,730.67 and 331.99

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Solution

The fourth proportional to 1,153.73, 1,730.67 and 331.99 is: 498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.73 : 1,730.67 = 331.99 : x
  2. Step 2: Convert to fraction form
    1,153.73/1,730.67 = 331.99/x
  3. Step 3: Cross multiply
    1,153.73x = 1,730.67 × 331.99
  4. Step 4: Simplify right side
    1,153.73x = 574,559.56
  5. Step 5: Solve for x
    x = 574,559.56/1,153.73
  6. Step 6: Final answer
    x = 498.00

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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.