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Finding the Fourth Proportional to 788.14, 1,087.32 and 493.21

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Solution

The fourth proportional to 788.14, 1,087.32 and 493.21 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.14 : 1,087.32 = 493.21 : x
  2. Step 2: Convert to fraction form
    788.14/1,087.32 = 493.21/x
  3. Step 3: Cross multiply
    788.14x = 1,087.32 × 493.21
  4. Step 4: Simplify right side
    788.14x = 536,277.10
  5. Step 5: Solve for x
    x = 536,277.10/788.14
  6. Step 6: Final answer
    x = 680.43

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Why These Related Problems?

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