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Finding the Fourth Proportional to 1,234.06, 1,699.70 and 1,068.28

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Solution

The fourth proportional to 1,234.06, 1,699.70 and 1,068.28 is: 1,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.06 : 1,699.70 = 1,068.28 : x
  2. Step 2: Convert to fraction form
    1,234.06/1,699.70 = 1,068.28/x
  3. Step 3: Cross multiply
    1,234.06x = 1,699.70 × 1,068.28
  4. Step 4: Simplify right side
    1,234.06x = 1,815,755.52
  5. Step 5: Solve for x
    x = 1,815,755.52/1,234.06
  6. Step 6: Final answer
    x = 1,471.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.