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Finding the Fourth Proportional to 1,309.46, 1,964.48 and 431.93

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Solution

The fourth proportional to 1,309.46, 1,964.48 and 431.93 is: 647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.46 : 1,964.48 = 431.93 : x
  2. Step 2: Convert to fraction form
    1,309.46/1,964.48 = 431.93/x
  3. Step 3: Cross multiply
    1,309.46x = 1,964.48 × 431.93
  4. Step 4: Simplify right side
    1,309.46x = 848,517.85
  5. Step 5: Solve for x
    x = 848,517.85/1,309.46
  6. Step 6: Final answer
    x = 647.99

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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.