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Finding the Fourth Proportional to 820.30, 1,230.45 and 601.60

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Solution

The fourth proportional to 820.30, 1,230.45 and 601.60 is: 902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.30 : 1,230.45 = 601.60 : x
  2. Step 2: Convert to fraction form
    820.30/1,230.45 = 601.60/x
  3. Step 3: Cross multiply
    820.30x = 1,230.45 × 601.60
  4. Step 4: Simplify right side
    820.30x = 740,238.72
  5. Step 5: Solve for x
    x = 740,238.72/820.30
  6. Step 6: Final answer
    x = 902.40

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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.