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Finding the Fourth Proportional to 788.72, 1,182 and 355.64

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Solution

The fourth proportional to 788.72, 1,182 and 355.64 is: 532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.72 : 1,182 = 355.64 : x
  2. Step 2: Convert to fraction form
    788.72/1,182 = 355.64/x
  3. Step 3: Cross multiply
    788.72x = 1,182 × 355.64
  4. Step 4: Simplify right side
    788.72x = 420,366.48
  5. Step 5: Solve for x
    x = 420,366.48/788.72
  6. Step 6: Final answer
    x = 532.97

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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.