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Finding the Fourth Proportional to 966.59, 1,334.01 and 573.60

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Solution

The fourth proportional to 966.59, 1,334.01 and 573.60 is: 791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.59 : 1,334.01 = 573.60 : x
  2. Step 2: Convert to fraction form
    966.59/1,334.01 = 573.60/x
  3. Step 3: Cross multiply
    966.59x = 1,334.01 × 573.60
  4. Step 4: Simplify right side
    966.59x = 765,188.14
  5. Step 5: Solve for x
    x = 765,188.14/966.59
  6. Step 6: Final answer
    x = 791.64

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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.