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Finding the Fourth Proportional to 959.59, 1,324.29 and 566.68

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Solution

The fourth proportional to 959.59, 1,324.29 and 566.68 is: 782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.59 : 1,324.29 = 566.68 : x
  2. Step 2: Convert to fraction form
    959.59/1,324.29 = 566.68/x
  3. Step 3: Cross multiply
    959.59x = 1,324.29 × 566.68
  4. Step 4: Simplify right side
    959.59x = 750,448.66
  5. Step 5: Solve for x
    x = 750,448.66/959.59
  6. Step 6: Final answer
    x = 782.05

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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.