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Finding the Fourth Proportional to 862.96, 1,294.70 and 362.87

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Solution

The fourth proportional to 862.96, 1,294.70 and 362.87 is: 544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,294.70 = 362.87 : x
  2. Step 2: Convert to fraction form
    862.96/1,294.70 = 362.87/x
  3. Step 3: Cross multiply
    862.96x = 1,294.70 × 362.87
  4. Step 4: Simplify right side
    862.96x = 469,807.79
  5. Step 5: Solve for x
    x = 469,807.79/862.96
  6. Step 6: Final answer
    x = 544.41

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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.