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Finding the Fourth Proportional to 1,317.33, 1,817.10 and 785.85

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Solution

The fourth proportional to 1,317.33, 1,817.10 and 785.85 is: 1,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.33 : 1,817.10 = 785.85 : x
  2. Step 2: Convert to fraction form
    1,317.33/1,817.10 = 785.85/x
  3. Step 3: Cross multiply
    1,317.33x = 1,817.10 × 785.85
  4. Step 4: Simplify right side
    1,317.33x = 1,427,968.04
  5. Step 5: Solve for x
    x = 1,427,968.04/1,317.33
  6. Step 6: Final answer
    x = 1,083.99

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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.