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Finding the Fourth Proportional to 820.02, 1,228.14 and 494.67

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Solution

The fourth proportional to 820.02, 1,228.14 and 494.67 is: 740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,228.14 = 494.67 : x
  2. Step 2: Convert to fraction form
    820.02/1,228.14 = 494.67/x
  3. Step 3: Cross multiply
    820.02x = 1,228.14 × 494.67
  4. Step 4: Simplify right side
    820.02x = 607,524.01
  5. Step 5: Solve for x
    x = 607,524.01/820.02
  6. Step 6: Final answer
    x = 740.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.