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Finding the Fourth Proportional to 957.48, 1,321.29 and 643.38

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Solution

The fourth proportional to 957.48, 1,321.29 and 643.38 is: 887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.48 : 1,321.29 = 643.38 : x
  2. Step 2: Convert to fraction form
    957.48/1,321.29 = 643.38/x
  3. Step 3: Cross multiply
    957.48x = 1,321.29 × 643.38
  4. Step 4: Simplify right side
    957.48x = 850,091.56
  5. Step 5: Solve for x
    x = 850,091.56/957.48
  6. Step 6: Final answer
    x = 887.84

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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.