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Finding the Fourth Proportional to 959.89, 1,324.83 and 567.13

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Solution

The fourth proportional to 959.89, 1,324.83 and 567.13 is: 782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.89 : 1,324.83 = 567.13 : x
  2. Step 2: Convert to fraction form
    959.89/1,324.83 = 567.13/x
  3. Step 3: Cross multiply
    959.89x = 1,324.83 × 567.13
  4. Step 4: Simplify right side
    959.89x = 751,350.84
  5. Step 5: Solve for x
    x = 751,350.84/959.89
  6. Step 6: Final answer
    x = 782.75

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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.