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Finding the Fourth Proportional to 957.73, 1,433.91 and 780.97

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Solution

The fourth proportional to 957.73, 1,433.91 and 780.97 is: 1,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.73 : 1,433.91 = 780.97 : x
  2. Step 2: Convert to fraction form
    957.73/1,433.91 = 780.97/x
  3. Step 3: Cross multiply
    957.73x = 1,433.91 × 780.97
  4. Step 4: Simplify right side
    957.73x = 1,119,837.11
  5. Step 5: Solve for x
    x = 1,119,837.11/957.73
  6. Step 6: Final answer
    x = 1,169.26

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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.