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Finding the Fourth Proportional to 955.69, 1,431.10 and 809.89

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Solution

The fourth proportional to 955.69, 1,431.10 and 809.89 is: 1,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.69 : 1,431.10 = 809.89 : x
  2. Step 2: Convert to fraction form
    955.69/1,431.10 = 809.89/x
  3. Step 3: Cross multiply
    955.69x = 1,431.10 × 809.89
  4. Step 4: Simplify right side
    955.69x = 1,159,033.58
  5. Step 5: Solve for x
    x = 1,159,033.58/955.69
  6. Step 6: Final answer
    x = 1,212.77

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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.