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Finding the Fourth Proportional to 809.60, 1,213.80 and 548.95

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Solution

The fourth proportional to 809.60, 1,213.80 and 548.95 is: 823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.60 : 1,213.80 = 548.95 : x
  2. Step 2: Convert to fraction form
    809.60/1,213.80 = 548.95/x
  3. Step 3: Cross multiply
    809.60x = 1,213.80 × 548.95
  4. Step 4: Simplify right side
    809.60x = 666,315.51
  5. Step 5: Solve for x
    x = 666,315.51/809.60
  6. Step 6: Final answer
    x = 823.02

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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.