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Finding the Fourth Proportional to 811.57, 1,217.88 and 446.61

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Solution

The fourth proportional to 811.57, 1,217.88 and 446.61 is: 670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.57 : 1,217.88 = 446.61 : x
  2. Step 2: Convert to fraction form
    811.57/1,217.88 = 446.61/x
  3. Step 3: Cross multiply
    811.57x = 1,217.88 × 446.61
  4. Step 4: Simplify right side
    811.57x = 543,915.15
  5. Step 5: Solve for x
    x = 543,915.15/811.57
  6. Step 6: Final answer
    x = 670.21

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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.