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Finding the Fourth Proportional to 788, 1,182.12 and 267.84

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Solution

The fourth proportional to 788, 1,182.12 and 267.84 is: 401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    788 : 1,182.12 = 267.84 : x
  2. Step 2: Convert to fraction form
    788/1,182.12 = 267.84/x
  3. Step 3: Cross multiply
    788x = 1,182.12 × 267.84
  4. Step 4: Simplify right side
    788x = 316,619.02
  5. Step 5: Solve for x
    x = 316,619.02/788
  6. Step 6: Final answer
    x = 401.80

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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.