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Finding the Fourth Proportional to 966.44, 1,333.90 and 593.74

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Solution

The fourth proportional to 966.44, 1,333.90 and 593.74 is: 819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.44 : 1,333.90 = 593.74 : x
  2. Step 2: Convert to fraction form
    966.44/1,333.90 = 593.74/x
  3. Step 3: Cross multiply
    966.44x = 1,333.90 × 593.74
  4. Step 4: Simplify right side
    966.44x = 791,984.38
  5. Step 5: Solve for x
    x = 791,984.38/966.44
  6. Step 6: Final answer
    x = 819.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.