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Finding the Fourth Proportional to 648.66, 972.99 and 638.34

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Solution

The fourth proportional to 648.66, 972.99 and 638.34 is: 957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.66 : 972.99 = 638.34 : x
  2. Step 2: Convert to fraction form
    648.66/972.99 = 638.34/x
  3. Step 3: Cross multiply
    648.66x = 972.99 × 638.34
  4. Step 4: Simplify right side
    648.66x = 621,098.44
  5. Step 5: Solve for x
    x = 621,098.44/648.66
  6. Step 6: Final answer
    x = 957.51

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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.