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Finding the Fourth Proportional to 811.32, 1,218.12 and 520.08

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Solution

The fourth proportional to 811.32, 1,218.12 and 520.08 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.32 : 1,218.12 = 520.08 : x
  2. Step 2: Convert to fraction form
    811.32/1,218.12 = 520.08/x
  3. Step 3: Cross multiply
    811.32x = 1,218.12 × 520.08
  4. Step 4: Simplify right side
    811.32x = 633,519.85
  5. Step 5: Solve for x
    x = 633,519.85/811.32
  6. Step 6: Final answer
    x = 780.85

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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.