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Finding the Fourth Proportional to 1,302.92, 1,954.05 and 644.48

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Solution

The fourth proportional to 1,302.92, 1,954.05 and 644.48 is: 966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.92 : 1,954.05 = 644.48 : x
  2. Step 2: Convert to fraction form
    1,302.92/1,954.05 = 644.48/x
  3. Step 3: Cross multiply
    1,302.92x = 1,954.05 × 644.48
  4. Step 4: Simplify right side
    1,302.92x = 1,259,336.37
  5. Step 5: Solve for x
    x = 1,259,336.37/1,302.92
  6. Step 6: Final answer
    x = 966.55

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