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Finding the Fourth Proportional to 626.78, 862.80 and 543.40

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Solution

The fourth proportional to 626.78, 862.80 and 543.40 is: 748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.78 : 862.80 = 543.40 : x
  2. Step 2: Convert to fraction form
    626.78/862.80 = 543.40/x
  3. Step 3: Cross multiply
    626.78x = 862.80 × 543.40
  4. Step 4: Simplify right side
    626.78x = 468,845.52
  5. Step 5: Solve for x
    x = 468,845.52/626.78
  6. Step 6: Final answer
    x = 748.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.