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Finding the Fourth Proportional to 820.06, 1,228.73 and 494.76

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Solution

The fourth proportional to 820.06, 1,228.73 and 494.76 is: 741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.06 : 1,228.73 = 494.76 : x
  2. Step 2: Convert to fraction form
    820.06/1,228.73 = 494.76/x
  3. Step 3: Cross multiply
    820.06x = 1,228.73 × 494.76
  4. Step 4: Simplify right side
    820.06x = 607,926.45
  5. Step 5: Solve for x
    x = 607,926.45/820.06
  6. Step 6: Final answer
    x = 741.32

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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.