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Finding the Fourth Proportional to 966.43, 1,332.87 and 593.14

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Solution

The fourth proportional to 966.43, 1,332.87 and 593.14 is: 818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.43 : 1,332.87 = 593.14 : x
  2. Step 2: Convert to fraction form
    966.43/1,332.87 = 593.14/x
  3. Step 3: Cross multiply
    966.43x = 1,332.87 × 593.14
  4. Step 4: Simplify right side
    966.43x = 790,578.51
  5. Step 5: Solve for x
    x = 790,578.51/966.43
  6. Step 6: Final answer
    x = 818.04

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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.