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Finding the Fourth Proportional to 957.50, 1,321.97 and 747.31

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Solution

The fourth proportional to 957.50, 1,321.97 and 747.31 is: 1,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.50 : 1,321.97 = 747.31 : x
  2. Step 2: Convert to fraction form
    957.50/1,321.97 = 747.31/x
  3. Step 3: Cross multiply
    957.50x = 1,321.97 × 747.31
  4. Step 4: Simplify right side
    957.50x = 987,921.40
  5. Step 5: Solve for x
    x = 987,921.40/957.50
  6. Step 6: Final answer
    x = 1,031.77

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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.