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Finding the Fourth Proportional to 811.80, 1,216.08 and 763.20

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Solution

The fourth proportional to 811.80, 1,216.08 and 763.20 is: 1,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.80 : 1,216.08 = 763.20 : x
  2. Step 2: Convert to fraction form
    811.80/1,216.08 = 763.20/x
  3. Step 3: Cross multiply
    811.80x = 1,216.08 × 763.20
  4. Step 4: Simplify right side
    811.80x = 928,112.26
  5. Step 5: Solve for x
    x = 928,112.26/811.80
  6. Step 6: Final answer
    x = 1,143.28

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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.