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Finding the Fourth Proportional to 959.44, 1,324.16 and 586.56

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Solution

The fourth proportional to 959.44, 1,324.16 and 586.56 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.44 : 1,324.16 = 586.56 : x
  2. Step 2: Convert to fraction form
    959.44/1,324.16 = 586.56/x
  3. Step 3: Cross multiply
    959.44x = 1,324.16 × 586.56
  4. Step 4: Simplify right side
    959.44x = 776,699.29
  5. Step 5: Solve for x
    x = 776,699.29/959.44
  6. Step 6: Final answer
    x = 809.53

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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.