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Finding the Fourth Proportional to 788.66, 1,087.38 and 493.41

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Solution

The fourth proportional to 788.66, 1,087.38 and 493.41 is: 680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.66 : 1,087.38 = 493.41 : x
  2. Step 2: Convert to fraction form
    788.66/1,087.38 = 493.41/x
  3. Step 3: Cross multiply
    788.66x = 1,087.38 × 493.41
  4. Step 4: Simplify right side
    788.66x = 536,521.70
  5. Step 5: Solve for x
    x = 536,521.70/788.66
  6. Step 6: Final answer
    x = 680.30

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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.