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Finding the Fourth Proportional to 1,755.16, 2,632.74 and 456.63

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Solution

The fourth proportional to 1,755.16, 2,632.74 and 456.63 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.16 : 2,632.74 = 456.63 : x
  2. Step 2: Convert to fraction form
    1,755.16/2,632.74 = 456.63/x
  3. Step 3: Cross multiply
    1,755.16x = 2,632.74 × 456.63
  4. Step 4: Simplify right side
    1,755.16x = 1,202,172.62
  5. Step 5: Solve for x
    x = 1,202,172.62/1,755.16
  6. Step 6: Final answer
    x = 684.94

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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.