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Finding the Fourth Proportional to 957.27, 1,321.14 and 564.29

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Solution

The fourth proportional to 957.27, 1,321.14 and 564.29 is: 778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.27 : 1,321.14 = 564.29 : x
  2. Step 2: Convert to fraction form
    957.27/1,321.14 = 564.29/x
  3. Step 3: Cross multiply
    957.27x = 1,321.14 × 564.29
  4. Step 4: Simplify right side
    957.27x = 745,506.09
  5. Step 5: Solve for x
    x = 745,506.09/957.27
  6. Step 6: Final answer
    x = 778.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.