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Finding the Fourth Proportional to 957.84, 1,321.83 and 538.22

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Solution

The fourth proportional to 957.84, 1,321.83 and 538.22 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.84 : 1,321.83 = 538.22 : x
  2. Step 2: Convert to fraction form
    957.84/1,321.83 = 538.22/x
  3. Step 3: Cross multiply
    957.84x = 1,321.83 × 538.22
  4. Step 4: Simplify right side
    957.84x = 711,428.73
  5. Step 5: Solve for x
    x = 711,428.73/957.84
  6. Step 6: Final answer
    x = 742.75

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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.