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Finding the Fourth Proportional to 788.73, 1,180.68 and 592.57

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Solution

The fourth proportional to 788.73, 1,180.68 and 592.57 is: 887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.73 : 1,180.68 = 592.57 : x
  2. Step 2: Convert to fraction form
    788.73/1,180.68 = 592.57/x
  3. Step 3: Cross multiply
    788.73x = 1,180.68 × 592.57
  4. Step 4: Simplify right side
    788.73x = 699,635.55
  5. Step 5: Solve for x
    x = 699,635.55/788.73
  6. Step 6: Final answer
    x = 887.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.