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Finding the Fourth Proportional to 862.20, 1,292.58 and 375.68

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Solution

The fourth proportional to 862.20, 1,292.58 and 375.68 is: 563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.20 : 1,292.58 = 375.68 : x
  2. Step 2: Convert to fraction form
    862.20/1,292.58 = 375.68/x
  3. Step 3: Cross multiply
    862.20x = 1,292.58 × 375.68
  4. Step 4: Simplify right side
    862.20x = 485,596.45
  5. Step 5: Solve for x
    x = 485,596.45/862.20
  6. Step 6: Final answer
    x = 563.21

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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.