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Finding the Fourth Proportional to 683.59, 1,026.41 and 546.23

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Solution

The fourth proportional to 683.59, 1,026.41 and 546.23 is: 820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 1,026.41 = 546.23 : x
  2. Step 2: Convert to fraction form
    683.59/1,026.41 = 546.23/x
  3. Step 3: Cross multiply
    683.59x = 1,026.41 × 546.23
  4. Step 4: Simplify right side
    683.59x = 560,652.17
  5. Step 5: Solve for x
    x = 560,652.17/683.59
  6. Step 6: Final answer
    x = 820.16

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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.