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Finding the Fourth Proportional to 811.46, 1,217.14 and 486.60

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Solution

The fourth proportional to 811.46, 1,217.14 and 486.60 is: 729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.46 : 1,217.14 = 486.60 : x
  2. Step 2: Convert to fraction form
    811.46/1,217.14 = 486.60/x
  3. Step 3: Cross multiply
    811.46x = 1,217.14 × 486.60
  4. Step 4: Simplify right side
    811.46x = 592,260.32
  5. Step 5: Solve for x
    x = 592,260.32/811.46
  6. Step 6: Final answer
    x = 729.87

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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.