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Finding the Fourth Proportional to 964.92, 1,447.74 and 502.41

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Solution

The fourth proportional to 964.92, 1,447.74 and 502.41 is: 753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.92 : 1,447.74 = 502.41 : x
  2. Step 2: Convert to fraction form
    964.92/1,447.74 = 502.41/x
  3. Step 3: Cross multiply
    964.92x = 1,447.74 × 502.41
  4. Step 4: Simplify right side
    964.92x = 727,359.05
  5. Step 5: Solve for x
    x = 727,359.05/964.92
  6. Step 6: Final answer
    x = 753.80

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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.