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Finding the Fourth Proportional to 783.26, 1,173.31 and 372.79

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Solution

The fourth proportional to 783.26, 1,173.31 and 372.79 is: 558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,173.31 = 372.79 : x
  2. Step 2: Convert to fraction form
    783.26/1,173.31 = 372.79/x
  3. Step 3: Cross multiply
    783.26x = 1,173.31 × 372.79
  4. Step 4: Simplify right side
    783.26x = 437,398.23
  5. Step 5: Solve for x
    x = 437,398.23/783.26
  6. Step 6: Final answer
    x = 558.43

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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.