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Finding the Fourth Proportional to 726.92, 1,090.46 and 418.72

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Solution

The fourth proportional to 726.92, 1,090.46 and 418.72 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.92 : 1,090.46 = 418.72 : x
  2. Step 2: Convert to fraction form
    726.92/1,090.46 = 418.72/x
  3. Step 3: Cross multiply
    726.92x = 1,090.46 × 418.72
  4. Step 4: Simplify right side
    726.92x = 456,597.41
  5. Step 5: Solve for x
    x = 456,597.41/726.92
  6. Step 6: Final answer
    x = 628.13

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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.