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Finding the Fourth Proportional to 811.80, 1,217.76 and 264.08

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Solution

The fourth proportional to 811.80, 1,217.76 and 264.08 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.80 : 1,217.76 = 264.08 : x
  2. Step 2: Convert to fraction form
    811.80/1,217.76 = 264.08/x
  3. Step 3: Cross multiply
    811.80x = 1,217.76 × 264.08
  4. Step 4: Simplify right side
    811.80x = 321,586.06
  5. Step 5: Solve for x
    x = 321,586.06/811.80
  6. Step 6: Final answer
    x = 396.14

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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.