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Finding the Fourth Proportional to 783.28, 1,174.68 and 296.21

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Solution

The fourth proportional to 783.28, 1,174.68 and 296.21 is: 444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.28 : 1,174.68 = 296.21 : x
  2. Step 2: Convert to fraction form
    783.28/1,174.68 = 296.21/x
  3. Step 3: Cross multiply
    783.28x = 1,174.68 × 296.21
  4. Step 4: Simplify right side
    783.28x = 347,954.90
  5. Step 5: Solve for x
    x = 347,954.90/783.28
  6. Step 6: Final answer
    x = 444.23

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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.