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Finding the Fourth Proportional to 843.08, 1,264.90 and 410.20

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Solution

The fourth proportional to 843.08, 1,264.90 and 410.20 is: 615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.08 : 1,264.90 = 410.20 : x
  2. Step 2: Convert to fraction form
    843.08/1,264.90 = 410.20/x
  3. Step 3: Cross multiply
    843.08x = 1,264.90 × 410.20
  4. Step 4: Simplify right side
    843.08x = 518,861.98
  5. Step 5: Solve for x
    x = 518,861.98/843.08
  6. Step 6: Final answer
    x = 615.44

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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.