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Finding the Fourth Proportional to 782.06, 1,173.10 and 204.94

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Solution

The fourth proportional to 782.06, 1,173.10 and 204.94 is: 307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,173.10 = 204.94 : x
  2. Step 2: Convert to fraction form
    782.06/1,173.10 = 204.94/x
  3. Step 3: Cross multiply
    782.06x = 1,173.10 × 204.94
  4. Step 4: Simplify right side
    782.06x = 240,411.67
  5. Step 5: Solve for x
    x = 240,411.67/782.06
  6. Step 6: Final answer
    x = 307.41

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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.