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Finding the Fourth Proportional to 957.74, 1,321.46 and 564.80

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Solution

The fourth proportional to 957.74, 1,321.46 and 564.80 is: 779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.74 : 1,321.46 = 564.80 : x
  2. Step 2: Convert to fraction form
    957.74/1,321.46 = 564.80/x
  3. Step 3: Cross multiply
    957.74x = 1,321.46 × 564.80
  4. Step 4: Simplify right side
    957.74x = 746,351.18
  5. Step 5: Solve for x
    x = 746,351.18/957.74
  6. Step 6: Final answer
    x = 779.29

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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.