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Finding the Fourth Proportional to 716.82, 1,074.58 and 387.92

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Solution

The fourth proportional to 716.82, 1,074.58 and 387.92 is: 581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.82 : 1,074.58 = 387.92 : x
  2. Step 2: Convert to fraction form
    716.82/1,074.58 = 387.92/x
  3. Step 3: Cross multiply
    716.82x = 1,074.58 × 387.92
  4. Step 4: Simplify right side
    716.82x = 416,851.07
  5. Step 5: Solve for x
    x = 416,851.07/716.82
  6. Step 6: Final answer
    x = 581.53

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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.