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Finding the Fourth Proportional to 811.23, 1,119.50 and 479.82

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Solution

The fourth proportional to 811.23, 1,119.50 and 479.82 is: 662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.23 : 1,119.50 = 479.82 : x
  2. Step 2: Convert to fraction form
    811.23/1,119.50 = 479.82/x
  3. Step 3: Cross multiply
    811.23x = 1,119.50 × 479.82
  4. Step 4: Simplify right side
    811.23x = 537,157.29
  5. Step 5: Solve for x
    x = 537,157.29/811.23
  6. Step 6: Final answer
    x = 662.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.