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Finding the Fourth Proportional to 788.28, 1,182.66 and 403.80

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Solution

The fourth proportional to 788.28, 1,182.66 and 403.80 is: 605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.28 : 1,182.66 = 403.80 : x
  2. Step 2: Convert to fraction form
    788.28/1,182.66 = 403.80/x
  3. Step 3: Cross multiply
    788.28x = 1,182.66 × 403.80
  4. Step 4: Simplify right side
    788.28x = 477,558.11
  5. Step 5: Solve for x
    x = 477,558.11/788.28
  6. Step 6: Final answer
    x = 605.82

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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.