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Finding the Fourth Proportional to 648.44, 974.02 and 493.83

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Solution

The fourth proportional to 648.44, 974.02 and 493.83 is: 741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.44 : 974.02 = 493.83 : x
  2. Step 2: Convert to fraction form
    648.44/974.02 = 493.83/x
  3. Step 3: Cross multiply
    648.44x = 974.02 × 493.83
  4. Step 4: Simplify right side
    648.44x = 480,995.43
  5. Step 5: Solve for x
    x = 480,995.43/648.44
  6. Step 6: Final answer
    x = 741.77

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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.