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Finding the Fourth Proportional to 746.44, 1,117.90 and 486.28

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Solution

The fourth proportional to 746.44, 1,117.90 and 486.28 is: 728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.44 : 1,117.90 = 486.28 : x
  2. Step 2: Convert to fraction form
    746.44/1,117.90 = 486.28/x
  3. Step 3: Cross multiply
    746.44x = 1,117.90 × 486.28
  4. Step 4: Simplify right side
    746.44x = 543,612.41
  5. Step 5: Solve for x
    x = 543,612.41/746.44
  6. Step 6: Final answer
    x = 728.27

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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.