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Finding the Fourth Proportional to 820.01, 1,227.80 and 766.71

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Solution

The fourth proportional to 820.01, 1,227.80 and 766.71 is: 1,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.01 : 1,227.80 = 766.71 : x
  2. Step 2: Convert to fraction form
    820.01/1,227.80 = 766.71/x
  3. Step 3: Cross multiply
    820.01x = 1,227.80 × 766.71
  4. Step 4: Simplify right side
    820.01x = 941,368.45
  5. Step 5: Solve for x
    x = 941,368.45/820.01
  6. Step 6: Final answer
    x = 1,147.99

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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.