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Finding the Fourth Proportional to 746.40, 1,116.96 and 644.88

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Solution

The fourth proportional to 746.40, 1,116.96 and 644.88 is: 965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.40 : 1,116.96 = 644.88 : x
  2. Step 2: Convert to fraction form
    746.40/1,116.96 = 644.88/x
  3. Step 3: Cross multiply
    746.40x = 1,116.96 × 644.88
  4. Step 4: Simplify right side
    746.40x = 720,305.16
  5. Step 5: Solve for x
    x = 720,305.16/746.40
  6. Step 6: Final answer
    x = 965.04

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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.