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Finding the Fourth Proportional to 783.17, 1,174.20 and 372.09

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Solution

The fourth proportional to 783.17, 1,174.20 and 372.09 is: 557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.17 : 1,174.20 = 372.09 : x
  2. Step 2: Convert to fraction form
    783.17/1,174.20 = 372.09/x
  3. Step 3: Cross multiply
    783.17x = 1,174.20 × 372.09
  4. Step 4: Simplify right side
    783.17x = 436,911.09
  5. Step 5: Solve for x
    x = 436,911.09/783.17
  6. Step 6: Final answer
    x = 557.88

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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.