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Finding the Fourth Proportional to 957.25, 1,321.01 and 543.25

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Solution

The fourth proportional to 957.25, 1,321.01 and 543.25 is: 749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.25 : 1,321.01 = 543.25 : x
  2. Step 2: Convert to fraction form
    957.25/1,321.01 = 543.25/x
  3. Step 3: Cross multiply
    957.25x = 1,321.01 × 543.25
  4. Step 4: Simplify right side
    957.25x = 717,638.68
  5. Step 5: Solve for x
    x = 717,638.68/957.25
  6. Step 6: Final answer
    x = 749.69

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