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Finding the Fourth Proportional to 704.46, 1,055.94 and 644.28

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Solution

The fourth proportional to 704.46, 1,055.94 and 644.28 is: 965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 1,055.94 = 644.28 : x
  2. Step 2: Convert to fraction form
    704.46/1,055.94 = 644.28/x
  3. Step 3: Cross multiply
    704.46x = 1,055.94 × 644.28
  4. Step 4: Simplify right side
    704.46x = 680,321.02
  5. Step 5: Solve for x
    x = 680,321.02/704.46
  6. Step 6: Final answer
    x = 965.73

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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.