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Finding the Fourth Proportional to 780.84, 1,171.08 and 267.84

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Solution

The fourth proportional to 780.84, 1,171.08 and 267.84 is: 401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.84 : 1,171.08 = 267.84 : x
  2. Step 2: Convert to fraction form
    780.84/1,171.08 = 267.84/x
  3. Step 3: Cross multiply
    780.84x = 1,171.08 × 267.84
  4. Step 4: Simplify right side
    780.84x = 313,662.07
  5. Step 5: Solve for x
    x = 313,662.07/780.84
  6. Step 6: Final answer
    x = 401.70

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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.