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Finding the Fourth Proportional to 782.08, 1,171.20 and 492.64

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Solution

The fourth proportional to 782.08, 1,171.20 and 492.64 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.08 : 1,171.20 = 492.64 : x
  2. Step 2: Convert to fraction form
    782.08/1,171.20 = 492.64/x
  3. Step 3: Cross multiply
    782.08x = 1,171.20 × 492.64
  4. Step 4: Simplify right side
    782.08x = 576,979.97
  5. Step 5: Solve for x
    x = 576,979.97/782.08
  6. Step 6: Final answer
    x = 737.75

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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.