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Finding the Fourth Proportional to 957.70, 1,321.30 and 538

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Solution

The fourth proportional to 957.70, 1,321.30 and 538 is: 742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,321.30 = 538 : x
  2. Step 2: Convert to fraction form
    957.70/1,321.30 = 538/x
  3. Step 3: Cross multiply
    957.70x = 1,321.30 × 538
  4. Step 4: Simplify right side
    957.70x = 710,859.40
  5. Step 5: Solve for x
    x = 710,859.40/957.70
  6. Step 6: Final answer
    x = 742.26

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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.