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Finding the Fourth Proportional to 782.06, 1,173.04 and 204.93

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Solution

The fourth proportional to 782.06, 1,173.04 and 204.93 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,173.04 = 204.93 : x
  2. Step 2: Convert to fraction form
    782.06/1,173.04 = 204.93/x
  3. Step 3: Cross multiply
    782.06x = 1,173.04 × 204.93
  4. Step 4: Simplify right side
    782.06x = 240,390.57
  5. Step 5: Solve for x
    x = 240,390.57/782.06
  6. Step 6: Final answer
    x = 307.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.