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Finding the Fourth Proportional to 1,309.60, 1,964.61 and 431.84

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Solution

The fourth proportional to 1,309.60, 1,964.61 and 431.84 is: 647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.60 : 1,964.61 = 431.84 : x
  2. Step 2: Convert to fraction form
    1,309.60/1,964.61 = 431.84/x
  3. Step 3: Cross multiply
    1,309.60x = 1,964.61 × 431.84
  4. Step 4: Simplify right side
    1,309.60x = 848,402.09
  5. Step 5: Solve for x
    x = 848,402.09/1,309.60
  6. Step 6: Final answer
    x = 647.83

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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.