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Finding the Fourth Proportional to 1,309.82, 1,965.04 and 488.12

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Solution

The fourth proportional to 1,309.82, 1,965.04 and 488.12 is: 732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.82 : 1,965.04 = 488.12 : x
  2. Step 2: Convert to fraction form
    1,309.82/1,965.04 = 488.12/x
  3. Step 3: Cross multiply
    1,309.82x = 1,965.04 × 488.12
  4. Step 4: Simplify right side
    1,309.82x = 959,175.32
  5. Step 5: Solve for x
    x = 959,175.32/1,309.82
  6. Step 6: Final answer
    x = 732.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.