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Finding the Fourth Proportional to 782.08, 1,172.76 and 294.82

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Solution

The fourth proportional to 782.08, 1,172.76 and 294.82 is: 442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.08 : 1,172.76 = 294.82 : x
  2. Step 2: Convert to fraction form
    782.08/1,172.76 = 294.82/x
  3. Step 3: Cross multiply
    782.08x = 1,172.76 × 294.82
  4. Step 4: Simplify right side
    782.08x = 345,749.07
  5. Step 5: Solve for x
    x = 345,749.07/782.08
  6. Step 6: Final answer
    x = 442.09

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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.