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Finding the Fourth Proportional to 788.68, 1,087.95 and 493.89

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Solution

The fourth proportional to 788.68, 1,087.95 and 493.89 is: 681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.68 : 1,087.95 = 493.89 : x
  2. Step 2: Convert to fraction form
    788.68/1,087.95 = 493.89/x
  3. Step 3: Cross multiply
    788.68x = 1,087.95 × 493.89
  4. Step 4: Simplify right side
    788.68x = 537,327.63
  5. Step 5: Solve for x
    x = 537,327.63/788.68
  6. Step 6: Final answer
    x = 681.30

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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.