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Finding the Fourth Proportional to 788.85, 1,087.52 and 493.92

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Solution

The fourth proportional to 788.85, 1,087.52 and 493.92 is: 680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.85 : 1,087.52 = 493.92 : x
  2. Step 2: Convert to fraction form
    788.85/1,087.52 = 493.92/x
  3. Step 3: Cross multiply
    788.85x = 1,087.52 × 493.92
  4. Step 4: Simplify right side
    788.85x = 537,145.41
  5. Step 5: Solve for x
    x = 537,145.41/788.85
  6. Step 6: Final answer
    x = 680.92

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