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Finding the Fourth Proportional to 783.44, 1,174.62 and 372.23

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Solution

The fourth proportional to 783.44, 1,174.62 and 372.23 is: 558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.44 : 1,174.62 = 372.23 : x
  2. Step 2: Convert to fraction form
    783.44/1,174.62 = 372.23/x
  3. Step 3: Cross multiply
    783.44x = 1,174.62 × 372.23
  4. Step 4: Simplify right side
    783.44x = 437,228.80
  5. Step 5: Solve for x
    x = 437,228.80/783.44
  6. Step 6: Final answer
    x = 558.09

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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.