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Finding the Fourth Proportional to 782.95, 1,174.08 and 371.98

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Solution

The fourth proportional to 782.95, 1,174.08 and 371.98 is: 557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.95 : 1,174.08 = 371.98 : x
  2. Step 2: Convert to fraction form
    782.95/1,174.08 = 371.98/x
  3. Step 3: Cross multiply
    782.95x = 1,174.08 × 371.98
  4. Step 4: Simplify right side
    782.95x = 436,734.28
  5. Step 5: Solve for x
    x = 436,734.28/782.95
  6. Step 6: Final answer
    x = 557.81

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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.