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Finding the Fourth Proportional to 1,310.05, 1,964.82 and 488.37

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Solution

The fourth proportional to 1,310.05, 1,964.82 and 488.37 is: 732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.05 : 1,964.82 = 488.37 : x
  2. Step 2: Convert to fraction form
    1,310.05/1,964.82 = 488.37/x
  3. Step 3: Cross multiply
    1,310.05x = 1,964.82 × 488.37
  4. Step 4: Simplify right side
    1,310.05x = 959,559.14
  5. Step 5: Solve for x
    x = 959,559.14/1,310.05
  6. Step 6: Final answer
    x = 732.46

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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.