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Finding the Fourth Proportional to 957.25, 1,321.01 and 564.49

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Solution

The fourth proportional to 957.25, 1,321.01 and 564.49 is: 779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.25 : 1,321.01 = 564.49 : x
  2. Step 2: Convert to fraction form
    957.25/1,321.01 = 564.49/x
  3. Step 3: Cross multiply
    957.25x = 1,321.01 × 564.49
  4. Step 4: Simplify right side
    957.25x = 745,696.93
  5. Step 5: Solve for x
    x = 745,696.93/957.25
  6. Step 6: Final answer
    x = 779.00

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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.