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Finding the Fourth Proportional to 811.47, 1,119.92 and 479.98

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Solution

The fourth proportional to 811.47, 1,119.92 and 479.98 is: 662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.47 : 1,119.92 = 479.98 : x
  2. Step 2: Convert to fraction form
    811.47/1,119.92 = 479.98/x
  3. Step 3: Cross multiply
    811.47x = 1,119.92 × 479.98
  4. Step 4: Simplify right side
    811.47x = 537,539.20
  5. Step 5: Solve for x
    x = 537,539.20/811.47
  6. Step 6: Final answer
    x = 662.43

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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.