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Finding the Fourth Proportional to 1,309.76, 1,965.50 and 488.04

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Solution

The fourth proportional to 1,309.76, 1,965.50 and 488.04 is: 732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.76 : 1,965.50 = 488.04 : x
  2. Step 2: Convert to fraction form
    1,309.76/1,965.50 = 488.04/x
  3. Step 3: Cross multiply
    1,309.76x = 1,965.50 × 488.04
  4. Step 4: Simplify right side
    1,309.76x = 959,240.18
  5. Step 5: Solve for x
    x = 959,240.18/1,309.76
  6. Step 6: Final answer
    x = 732.38

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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.