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Finding the Fourth Proportional to 829.28, 1,241.64 and 598.40

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Solution

The fourth proportional to 829.28, 1,241.64 and 598.40 is: 895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,241.64 = 598.40 : x
  2. Step 2: Convert to fraction form
    829.28/1,241.64 = 598.40/x
  3. Step 3: Cross multiply
    829.28x = 1,241.64 × 598.40
  4. Step 4: Simplify right side
    829.28x = 742,997.38
  5. Step 5: Solve for x
    x = 742,997.38/829.28
  6. Step 6: Final answer
    x = 895.95

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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.