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Finding the Fourth Proportional to 1,755.30, 2,632.96 and 456.78

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Solution

The fourth proportional to 1,755.30, 2,632.96 and 456.78 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.30 : 2,632.96 = 456.78 : x
  2. Step 2: Convert to fraction form
    1,755.30/2,632.96 = 456.78/x
  3. Step 3: Cross multiply
    1,755.30x = 2,632.96 × 456.78
  4. Step 4: Simplify right side
    1,755.30x = 1,202,683.47
  5. Step 5: Solve for x
    x = 1,202,683.47/1,755.30
  6. Step 6: Final answer
    x = 685.17

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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.