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Finding the Fourth Proportional to 966.63, 1,334.16 and 593.81

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Solution

The fourth proportional to 966.63, 1,334.16 and 593.81 is: 819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.63 : 1,334.16 = 593.81 : x
  2. Step 2: Convert to fraction form
    966.63/1,334.16 = 593.81/x
  3. Step 3: Cross multiply
    966.63x = 1,334.16 × 593.81
  4. Step 4: Simplify right side
    966.63x = 792,230.88
  5. Step 5: Solve for x
    x = 792,230.88/966.63
  6. Step 6: Final answer
    x = 819.58

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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.