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Finding the Fourth Proportional to 1,074.73, 1,613.15 and 527.31

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Solution

The fourth proportional to 1,074.73, 1,613.15 and 527.31 is: 791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.73 : 1,613.15 = 527.31 : x
  2. Step 2: Convert to fraction form
    1,074.73/1,613.15 = 527.31/x
  3. Step 3: Cross multiply
    1,074.73x = 1,613.15 × 527.31
  4. Step 4: Simplify right side
    1,074.73x = 850,630.13
  5. Step 5: Solve for x
    x = 850,630.13/1,074.73
  6. Step 6: Final answer
    x = 791.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.