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Finding the Fourth Proportional to 980.34, 1,469.57 and 546.59

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Solution

The fourth proportional to 980.34, 1,469.57 and 546.59 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.34 : 1,469.57 = 546.59 : x
  2. Step 2: Convert to fraction form
    980.34/1,469.57 = 546.59/x
  3. Step 3: Cross multiply
    980.34x = 1,469.57 × 546.59
  4. Step 4: Simplify right side
    980.34x = 803,242.19
  5. Step 5: Solve for x
    x = 803,242.19/980.34
  6. Step 6: Final answer
    x = 819.35

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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.