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Finding the Fourth Proportional to 879.99, 1,317.96 and 765.39

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Solution

The fourth proportional to 879.99, 1,317.96 and 765.39 is: 1,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.99 : 1,317.96 = 765.39 : x
  2. Step 2: Convert to fraction form
    879.99/1,317.96 = 765.39/x
  3. Step 3: Cross multiply
    879.99x = 1,317.96 × 765.39
  4. Step 4: Simplify right side
    879.99x = 1,008,753.40
  5. Step 5: Solve for x
    x = 1,008,753.40/879.99
  6. Step 6: Final answer
    x = 1,146.32

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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.