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Finding the Fourth Proportional to 957.96, 1,321.95 and 538.33

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Solution

The fourth proportional to 957.96, 1,321.95 and 538.33 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.96 : 1,321.95 = 538.33 : x
  2. Step 2: Convert to fraction form
    957.96/1,321.95 = 538.33/x
  3. Step 3: Cross multiply
    957.96x = 1,321.95 × 538.33
  4. Step 4: Simplify right side
    957.96x = 711,646.54
  5. Step 5: Solve for x
    x = 711,646.54/957.96
  6. Step 6: Final answer
    x = 742.88

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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.