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Finding the Fourth Proportional to 957.49, 1,321.26 and 537.79

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Solution

The fourth proportional to 957.49, 1,321.26 and 537.79 is: 742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.49 : 1,321.26 = 537.79 : x
  2. Step 2: Convert to fraction form
    957.49/1,321.26 = 537.79/x
  3. Step 3: Cross multiply
    957.49x = 1,321.26 × 537.79
  4. Step 4: Simplify right side
    957.49x = 710,560.42
  5. Step 5: Solve for x
    x = 710,560.42/957.49
  6. Step 6: Final answer
    x = 742.11

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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.