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Finding the Fourth Proportional to 844.64, 1,267.08 and 411.50

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Solution

The fourth proportional to 844.64, 1,267.08 and 411.50 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.64 : 1,267.08 = 411.50 : x
  2. Step 2: Convert to fraction form
    844.64/1,267.08 = 411.50/x
  3. Step 3: Cross multiply
    844.64x = 1,267.08 × 411.50
  4. Step 4: Simplify right side
    844.64x = 521,403.42
  5. Step 5: Solve for x
    x = 521,403.42/844.64
  6. Step 6: Final answer
    x = 617.31

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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.