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Finding the Fourth Proportional to 1,317.14, 1,817.79 and 757.78

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Solution

The fourth proportional to 1,317.14, 1,817.79 and 757.78 is: 1,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.14 : 1,817.79 = 757.78 : x
  2. Step 2: Convert to fraction form
    1,317.14/1,817.79 = 757.78/x
  3. Step 3: Cross multiply
    1,317.14x = 1,817.79 × 757.78
  4. Step 4: Simplify right side
    1,317.14x = 1,377,486.90
  5. Step 5: Solve for x
    x = 1,377,486.90/1,317.14
  6. Step 6: Final answer
    x = 1,045.82

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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.