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Finding the Fourth Proportional to 972.52, 1,457.92 and 664.96

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Solution

The fourth proportional to 972.52, 1,457.92 and 664.96 is: 996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.52 : 1,457.92 = 664.96 : x
  2. Step 2: Convert to fraction form
    972.52/1,457.92 = 664.96/x
  3. Step 3: Cross multiply
    972.52x = 1,457.92 × 664.96
  4. Step 4: Simplify right side
    972.52x = 969,458.48
  5. Step 5: Solve for x
    x = 969,458.48/972.52
  6. Step 6: Final answer
    x = 996.85

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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.