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Finding the Fourth Proportional to 800.48, 1,200.84 and 410.27

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Solution

The fourth proportional to 800.48, 1,200.84 and 410.27 is: 615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,200.84 = 410.27 : x
  2. Step 2: Convert to fraction form
    800.48/1,200.84 = 410.27/x
  3. Step 3: Cross multiply
    800.48x = 1,200.84 × 410.27
  4. Step 4: Simplify right side
    800.48x = 492,662.62
  5. Step 5: Solve for x
    x = 492,662.62/800.48
  6. Step 6: Final answer
    x = 615.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.