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Finding the Fourth Proportional to 788.75, 1,182.73 and 459.80

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Solution

The fourth proportional to 788.75, 1,182.73 and 459.80 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.75 : 1,182.73 = 459.80 : x
  2. Step 2: Convert to fraction form
    788.75/1,182.73 = 459.80/x
  3. Step 3: Cross multiply
    788.75x = 1,182.73 × 459.80
  4. Step 4: Simplify right side
    788.75x = 543,819.25
  5. Step 5: Solve for x
    x = 543,819.25/788.75
  6. Step 6: Final answer
    x = 689.47

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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.