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Finding the Fourth Proportional to 954.52, 1,432.74 and 727.96

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Solution

The fourth proportional to 954.52, 1,432.74 and 727.96 is: 1,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.52 : 1,432.74 = 727.96 : x
  2. Step 2: Convert to fraction form
    954.52/1,432.74 = 727.96/x
  3. Step 3: Cross multiply
    954.52x = 1,432.74 × 727.96
  4. Step 4: Simplify right side
    954.52x = 1,042,977.41
  5. Step 5: Solve for x
    x = 1,042,977.41/954.52
  6. Step 6: Final answer
    x = 1,092.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.