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Finding the Fourth Proportional to 1,310.83, 1,965.78 and 433.17

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Solution

The fourth proportional to 1,310.83, 1,965.78 and 433.17 is: 649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.83 : 1,965.78 = 433.17 : x
  2. Step 2: Convert to fraction form
    1,310.83/1,965.78 = 433.17/x
  3. Step 3: Cross multiply
    1,310.83x = 1,965.78 × 433.17
  4. Step 4: Simplify right side
    1,310.83x = 851,523.06
  5. Step 5: Solve for x
    x = 851,523.06/1,310.83
  6. Step 6: Final answer
    x = 649.60

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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.